A mathematician is a
blind man in a dark room
looking for a black cat
which isn't there.
CHARLES ROBERT DARWIN
Personal Data
Name Patrick Winkert
Date of Birth April 00000001000, 11110111101 (binary numeral system)
Place of Birth Halle (Saale), Germany
Nationality German
Education
2015 Habilitation in Mathematics (postdoctoral qualification, Dr.rer.nat.habil.), Thesis: 'Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities', Technische Universität Berlin, Berlin, Germany, Reviewers: Prof. Dr. Etienne Emmrich (TU Berlin), Prof. Dr. Siegfried Carl (University of Halle), Prof. Dr. Salvatore A. Marano (University of Catania), Prof. Dr. Kanishka Perera (Florida Institute of Technology, Melbourne)
2009 Ph.D. in Mathematics (Dr.rer.nat.), Thesis: 'Comparison principles and multiple solutions for nonlinear elliptic problems', Thesis Supervisor: Prof. Dr. Siegfried Carl, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
2006 Master in Mathematics (Diploma in Mathematics), Thesis: 'T-symmetrische Tensor-Differentialformen mit logarithmischen Polen', Thesis Supervisior: Prof. Dr. Klaus Peter Brückmann, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Employment History
2019 – present Lecturer (tenured) & Research Assistant, Technische Universität Berlin, Berlin, Germany
2016 – present Privatdozent, Technische Universität Berlin, Berlin, Germany
Fall 2017 Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Spring 2017 Guest Professor 'Applied Analysis', Humboldt-Universität zu Berlin, Berlin Germany
Fall 2016 Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Spring 2016 Substitute Professor 'Applied Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
2009 – 2019 Research Assistant, Technische Universität Berlin, Berlin, Germany
2008 – 2009 Research Assistant, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
2006 – 2008 Ph.D. Student, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Honors and Awards
2007 Promotion price, awarded by the Georg Cantor Society for the diploma (master) in mathematics
2006 – 2008 Graduate scholarship assigned by the federal state Sachsen-Anhalt
2006 Award of the German Mathematical Society for course achievement
2003 Awarded by the German Mathematical Society for the intermediate diploma in mathematics
51
S. Zeng, L. Gasiński, P. Winkert, Y. Bai
Existence of solutions for double phase obstacle problems with multivalued convection term
J. Math. Anal. Appl., accepted 2020
Preprint
50
L. Gasiński, P. Winkert
Constant sign solutions for double phase problems with superlinear nonlinearity
Nonlinear Anal. 195 (2020), 111739
Preprint
49
Y. Bai, L. Gasiński, P. Winkert, S. Zeng
W1,p versus C1: The nonsmooth case involving critical growth
Bull. Math. Sci., accepted 2020
Preprint
48
N. S. Papageorgiou, P. Winkert
Positive solutions for weighted singular p-Laplace equations via Nehari manifolds
Appl. Anal., accepted 2019
Preprint
47
L. Gasiński, P. Winkert
Existence and uniqueness results for double phase problems with convection term
J. Differential Equations 268 (2020), no. 8, 4183–4193
Preprint
46
G. Marino, P. Winkert
Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition
J. Math. Anal. Appl. 482 (2020), no. 2, 123555
Preprint
45
S. A. Marano, P. Winkert
Corrigendum to "On a quasilinear elliptic problem with convection term and nonlinear boundary condition"
[Nonlinear Anal. 187 (2019), 159–169]
Nonlinear Anal. 189 (2019), 111578
Preprint
44
G. D'Aguì, B. Di Bella, P. Winkert
Two positive solutions for nonlinear fourth-order elastic beam equations
Electron. J. Qual. Theory Differ. Equ. 2019, Paper No. 37, 12 pp.
Preprint
43
G. Bonanno, G. D'Aguì, P. Winkert
A two critical points theorem for non-differentiable functions and applications to highly discontinuous PDE's
Pure Appl. Funct. Anal. 4 (2019), no. 4, 709–725
Preprint
42
S. A. Marano, P. Winkert
On a quasilinear elliptic problem with convection term and nonlinear boundary condition
Nonlinear Anal. 187 (2019), 159–169
Preprint
41
D. Motreanu, P. Winkert
Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence
Appl. Math. Lett. 95 (2019), 78–84
Preprint
40
N. S. Papageorgiou, P. Winkert
Nonlinear systems with Hartman-type perturbations
Monatsh. Math. 190 (2019), no. 2, 389–404
Preprint
39
G. Marino, P. Winkert
Moser iteration applied to elliptic equations with critical growth on the boundary
Nonlinear Anal. 180 (2019), 154–169
Preprint
38
N. S. Papageorgiou, P. Winkert
Math. Nachr. 292 (2019), no. 4, 871–891
Preprint
37
N. S. Papageorgiou, P. Winkert
Singular p-Laplacian equations with superlinear perturbation
J. Differential Equations 266 (2019), no. 2-3, 1462–1487
Preprint
36
N. S. Papageorgiou, P. Winkert
Applied Nonlinear Functional Analysis. An Introduction
De Gruyter, Berlin, 2018, x+612 pp.
De Gruyter
35
N. S. Papageorgiou, P. Winkert
Double resonance for Robin problems with indefinite and unbounded potential
Discrete Contin. Dyn. Syst. Ser. S 11, (2018), no. 2, 323–344
Preprint
34
N. S. Papageorgiou, P. Winkert
Asymmetric $(p,2)$-equations, superlinear at $+\infty$, resonant at $-\infty$
Bull. Sci. Math. 141 (2017), no. 5, 443–488
Preprint
33
S. El Manouni, H. Hajaiej, P. Winkert
Bounded solutions to nonlinear problems in $\R^N$ involving the fractional Laplacian depending on parameters
Minimax Theory and Its Applications 2 (2017), no. 2, 265–283
Preprint
32
N. S. Papageorgiou, P. Winkert
Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities
Positivity 20 (2016), no. 4, 945–979
Preprint
31
P. Winkert, R. Zacher
Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth
Nonlinear Anal. 145 (2016), 1–23
Preprint
30
N. S. Papageorgiou, P. Winkert
Nonlinear Robin problems with a reaction of arbitrary growth
Ann. Mat. Pura Appl. (4) 195 (2016), no. 4, 1207–1235
Preprint
29
G. Bonanno, G. D'Aguì, P. Winkert
Sturm-Liouville equations involving discontinuous nonlinearities
Minimax Theory and Its Applications 1 (2016), no. 1, 125–143
Preprint
28
N. S. Papageorgiou, P. Winkert
Nonlinear nonhomogeneous Dirichlet equations with a superlinear nonlinearity
Results Math. 70 (2016), no. 1, 31–79
Preprint
27
P. Winkert
Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities
Habilitation thesis, Technische Universität Berlin, Berlin, Germany, November 2015
26
P. Winkert, R. Zacher
Corrigendum to "A priori bounds for weak solutions to elliptic equations with nonstandard growth" [Discrete Contin. Dyn. Syst. Ser. S 5 (2012), 865–878.]
Discrete Contin. Dyn. Syst. Ser. S, published on-line as note, 2015.
Preprint
25
S. El Manouni, N. S. Papageorgiou, P. Winkert
Parametric nonlinear nonhomogeneous Neumann equations involving a nonhomogeneous differential operator
Monatsh. Math. 177 (2015), no. 2, 203–233
Preprint
24
N. S. Papageorgiou, P. Winkert
Resonant (p,2)-equations with concave terms
Appl. Anal. 94 (2015), no. 2, 342–360
Preprint
23
P. Winkert
On the boundedness of solutions to elliptic variational inequalities
Set-Valued Var. Anal. 22 (2014), no. 4, 763–781
Preprint
22
D. Motreanu, P. Winkert
Elliptic problems with nonhomogeneous differential operators and multiple solutions
Chapter 15 in: Mathematics Without Boundaries (Surveys in Pure Mathematics), 357–379, Springer, New York, 2014
Preprint
21
G. Bonanno, P. Winkert
Multiplicity results to a class of variational-hemivariational inequalities
Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 493–516
Preprint
20
N. S. Papageorgiou, P. Winkert
On a parametric nonlinear Dirichlet problem with subdiffusive and equidiffusive reaction
Adv. Nonlinear Stud. 14 (2014), no. 3, 747–773
Preprint
19
G. Bonanno, D. Motreanu, P. Winkert
Boundary value problems with nonsmooth potential, constraints and parameters
Dynam. Systems Appl. 22 (2013), no. 2-3, 385–396
Preprint
18
P. Winkert
Multiplicity results for a class of elliptic problems with nonlinear boundary condition
Commun. Pure Appl. Anal. 12 (2013), no. 2, 785–802
Preprint
17
D. Motreanu, P. Winkert
The Fucik spectrum for the negative p-Laplacian with different boundary conditions
Chapter 28 in: Nonlinear Analysis (Stability, Approximation, and Inequalities), 471–485, Springer, New York, 2012
Preprint
16
P. Winkert, R. Zacher
A priori bounds for weak solutions to elliptic equations with nonstandard growth
Discrete Contin. Dyn. Syst. Ser. S 5 (2012), no. 4, 865–878
Preprint
15
D. Motreanu, P. Winkert
On the Fucik spectrum for the p-Laplacian with Robin boundary condition
Nonlinear Anal. 74 (2011), no. 14, 4671–4681
Preprint
14
G. Bonanno, D. Motreanu, P. Winkert
Variational-hemivariational inequalities with small perturbations of nonhomogeneous Neumann boundary conditions
J. Math. Anal. Appl. 381 (2011), no. 2, 627–637
Preprint
13
P. Winkert
Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities
J. Math. Anal. Appl. 377 (2011), no. 1, 121–134
Preprint
12
D. Motreanu, P. Winkert
Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
Matematiche (Catania) 65 (2010), no. 2, 109–119
Preprint
11
P. Winkert
Sign-changing and extremal constant-sign solutions of nonlinear elliptic Neumann boundary value problems
Bound. Value Probl. 2010, Art. ID 139126, 22 pp.
Preprint
10
P. Winkert
Local C1-minimizers versus local W1,p-minimizers of nonsmooth functionals
Nonlinear Anal. 72 (2010), no. 11, 4298–4303
Preprint
9
P. Winkert
L-estimates for nonlinear elliptic Neumann boundary value problems
NoDEA Nonlinear Differential Equations Appl. 17 (2010), no. 3, 289–302
Preprint
8
P. Winkert
Constant-sign and sign-changing solutions for nonlinear elliptic equations with Neumann boundary values
Adv. Differential Equations 15 (2010), no. 5-6, 561–599
Preprint
7
P. Winkert
Entire extremal solutions for elliptic inclusions of Clarke′s gradient type
Z. Anal. Anwend. 29 (2010), no. 1, 63–75
Preprint
6
P. Winkert
Comparison principles and multiple solutions for nonlinear elliptic problems
PhD thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2009
5
S. Carl, P. Winkert
General comparison principle for variational-hemivariational inequalities
J. Inequal. Appl. 2009, Art. ID 184348, 29 pp.
Preprint
4
P. Brückmann, P. Winkert
T-symmetrical tensor differential forms with logarithmic poles along a hypersurface section
Int. J. Pure Appl. Math. 46 (2008), no. 1, 111–136
Preprint
3
P. Winkert
Discontinuous variational-hemivariational inequalities involving the p-Laplacian
J. Inequal. Appl. 2007, Art. ID 13579, 11 pp.
Preprint
2
P. Winkert
T-symmetrische Tensor-Differentialformen mit logarithmischen Polen
Diploma thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2006 (available only in German)
1
P. Winkert
Vergleich von experimentellen Konvergenzraten zur numerischen Lösung der Poissongleichung im R¹ und R² mittels des Verfahrens der konjugierten Gradienten und des Gauß-Seidel Verfahrens
Mathematical Internship, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, 2005 (available only in German)
previous next
Math Teacher: “If a=b and b=c then a=c, now give me the practical example of this principle from real life.”
Student: “I love you sir and you love your daughter which means I love your daughter.”
An chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The chemist and the physicist comes up with many ingenious ways to open the can. Then suddenly the mathematician gets a bright idea: “Assume we have a can opener...”
Two male mathematicians are in a bar. The first one says to the second that the average person knows very little about basic mathematics. The second one disagrees, and claims that most people can cope with a reasonable amount of math. The first mathematician goes off to the washroom, and in his absence the second calls over the waitress. He tells her that in a few minutes, after his friend has returned, he will call her over and ask her a question. All she has to do is answer one third x cubed. She repeats “one thir -- dex cue?” He repeats “one third x cubed.” Her: “one thir dex cuebd?” “Yes, that's right” he says. So she agrees, and goes off mumbling to herself, “one thir dex cuebd...”. The first guy returns and the second proposes a bet to prove his point, that most people do know something about basic math. He says he will ask the blonde waitress an integral, and the first laughingly agrees. The second man calls over the waitress and asks “what is the integral of x squared?”. The waitress says “one third x cubed” and while walking away, turns back and says over her shoulder “plus a constant!”
“Do you love your math more than me?” “Of course not, dear - I love you much more.” “Then prove it!” “OK... Let R be the set of all lovable objects...”
A constant function and e^x are walking on Broadway. Then suddenly the constant function sees a differential operator approaching and runs away. So e^x follows him and asks why the hurry. “Well, you see, there's this differential operator coming this way, and when we meet, he'll differentiate me and nothing will be left of me...!” “Ah,” says e^x, “he won't bother ME, I'm e to the x!” and he walks on. Of course he meets the differential operator after a short distance. e^x: “Hi, I'm e^x” diff.op.: “Hi, I'm d/dy”
A biologist, a physicist and a mathematician were sitting in a street cafe watching the crowd. Across the street they saw a man and a woman entering a building. Ten minutes they reappeared together with a third person. “They have multiplied” said the biologist. “Oh no, an error in measurement” the physicist sighed. “If exactly one person enters the building now, it will be empty again” the mathematician concluded.
A mathematician is asked to design a table. He first designs a table with no legs. Then he designs a table with infinitely many legs. He spend the rest of his life generalizing the results for the table with N legs (where N is not necessarily a natural number).
A mathematician, a physicist, and an engineer were traveling through Scotland when they saw a black sheep through the window of the train. “Aha” says the engineer, “I see that Scottish sheep are black.” “Hmm,” says the physicist, “You mean that some Scottish sheep are black.” “No,” says the mathematician, “All we know is that there is at least one sheep in Scotland, and that at least one side of that one sheep is black!”
A mathematician organizes a lottery in which the prize is an infinite amount of money. When the winning ticket is drawn, and the jubilant winner comes to claim his prize, the mathematician explains the mode of payment: “1 dollar now, 1/2 dollar next week, 1/3 dollar the week after that...”
When a statistician passes the airport security check, they discover a bomb in his bag. He explains. “Statistics shows that the probability of a bomb being on an airplane is 1/1000. However, the chance that there are two bombs at one plane is 1/1000000. So, I am much safer...”
A mathematician believes nothing until it is proven. A physicist believes everything until it is proven wrong. A chemist doesn’t care. A biologist doesn’t understand the question.
The difference between an introvert and extrovert mathematicians is: An introvert mathematician looks at his shoes while talking to you. An extrovert mathematician looks at your shoes.
Biologists think they are biochemists, Biochemists think they are Physical Chemists, Physical Chemists think they are Physicists, Physicists think they are Gods, and God thinks he is a Mathematician.
In Alaska, where it gets very cold, pi is only 3.00. As you know, everything shrinks in the cold. They call it Eskimo pi.
Mathematicians are like Frenchmen: whatever you say to them, they translate it into their own language, and forthwith it means something entirely different.
Math Teacher: “If a=b and b=c then a=c, now give me the practical example of this principle from real li...

An chemist, a physicist, and a mathematician are stranded on an island when a can of food rolls ashore. The ch...

Two male mathematicians are in a bar. The first one says to the second that the average person knows very litt...

“Do you love your math more than me?” “Of course not, dear - I love you much more.” &l...

A constant function and e^x are walking on Broadway. Then suddenly the constant function sees a differential o...

A biologist, a physicist and a mathematician were sitting in a street cafe watching the crowd. Across the stre...

A mathematician is asked to design a table. He first designs a table with no legs. Then he designs a table wit...

A mathematician, a physicist, and an engineer were traveling through Scotland when they saw a black sheep thro...

A mathematician organizes a lottery in which the prize is an infinite amount of money. When the winning ticket...

When a statistician passes the airport security check, they discover a bomb in his bag. He explains. “St...

A mathematician believes nothing until it is proven. A physicist believes everything until it is proven wrong....

The difference between an introvert and extrovert mathematicians is: An introvert mathematician looks at his s...

Biologists think they are biochemists, Biochemists think they are Physical Chemists, Physical Chemists think t...

In Alaska, where it gets very cold, pi is only 3.00. As you know, everything shrinks in the cold. They call it...

Mathematicians are like Frenchmen: whatever you say to them, they translate it into their own language, and fo...

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Karl-Marx-Allee 132
10243 Berlin
Email: patrick@winkert.de

Contact:
Phone: +49 (0) 30 314 - 2 39 74
Email: patrick@winkert.de

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Data protection The operators of this website take the protection of your personal data very seriously. We treat your personal data as confidential and in accordance with the statutory data protection regulations and this privacy policy. If you use this website, various pieces of personal data will be collected. Personal information is any data with which you could be personally identified. This privacy policy explains what information we collect and what we use it for. It also explains how and for what purpose this happens. Please note that data transmitted via the internet (e.g. via email communication) may be subject to security breaches. Complete protection of your data from third-party access is not possible.
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Karl-Marx-Allee 132
10243 Berlin

Phone: +49 (0) 30 314 - 2 39 74
Email: patrick@winkert.de

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