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A mathematician is a
blind man in a dark room
looking for a black cat
which isn't there.
CHARLES ROBERT DARWIN
Patze
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
2009 Ph.D. in Mathematics (Dr.rer.nat.), Thesis: 'Comparison principles and multiple solutions for nonlinear elliptic problems' (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' (Supervisior: Prof. Dr. Klaus Peter Brückmann), Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
Employment History
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
2016 – present Privatdozent at Technische Universität Berlin, Berlin, Germany
2009 – present Research Assistant at the Institue of Mathematics, Technische Universität Berlin, Berlin, Germany
2008 – 2009 Research assistant at the Institute of Mathematics, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany
2006 – 2008 Ph.D. student at the Institute of Mathematics, 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
39
covers-volumes
G. Marino, P. Winkert
Moser iteration applied to elliptic equations with critical growth on the boundary
Nonlinear Anal. 180 (2019), 154–169
Preprint
Link to journal
38
covers-volumes
N. S. Papageorgiou, P. Winkert
Solutions with sign information for nonlinear nonhomogeneous problems
Math. Z., to appear
Preprint
Link to journal
37
covers-volumes
N. S. Papageorgiou, P. Winkert
Singular p-Laplacian equations with superlinear perturbation
J. Differential Equations, to appear
Preprint
Link to journal
36
covers-volumes
N. S. Papageorgiou, P. Winkert
Applied Nonlinear Functional Analysis. An Introduction
De Gruyter, Berlin, 2018, x+612 pp.
De Gruyter
35
covers-volumes
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
Link to journal
34
covers-volumes
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
Link to journal
33
covers-volumes
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
Link to journal
32
covers-volumes
N. S. Papageorgiou, P. Winkert
Positive solutions for nonlinear nonhomogeneous Dirichlet problems with concave-convex nonlinearities
Positivity 20 (2016), no. 4, 945–979
Preprint
Link to journal
31
covers-volumes
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
Link to journal
30
covers-volumes
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
Link to journal
29
covers-volumes
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
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28
covers-volumes
N. S. Papageorgiou, P. Winkert
Nonlinear nonhomogeneous Dirichlet equations with a superlinear nonlinearity
Results Math. 70 (2016), no. 1, 31–79
Preprint
Link to journal
27
covers-volumes
P. Winkert
Global a priori bounds and multiplicity results for quasilinear elliptic equations and inequalities
Habilitation thesis, Technische Universität Berlin, Berlin, Germany, November 2015
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26
covers-volumes
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
Link to journal
25
covers-volumes
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
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24
covers-volumes
N. S. Papageorgiou, P. Winkert
Resonant (p,2)-equations with concave terms
Appl. Anal. 94 (2015), no. 2, 342–360
Preprint
Link to journal
23
covers-volumes
P. Winkert
On the boundedness of solutions to elliptic variational inequalities
Set-Valued Var. Anal. 22 (2014), no. 4, 763–781
Preprint
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22
covers-volumes
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
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21
covers-volumes
G. Bonanno, P. Winkert
Multiplicity results to a class of variational-hemivariational inequalities
Topol. Methods Nonlinear Anal. 43 (2014), no. 2, 493–516
Preprint
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20
covers-volumes
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
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19
covers-volumes
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
covers-volumes
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
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17
covers-volumes
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
Link to journal
16
covers-volumes
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
Link to journal
15
covers-volumes
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
Link to journal
14
covers-volumes
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
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13
covers-volumes
P. Winkert
Multiple solution results for elliptic Neumann problems involving set-valued nonlinearities
J. Math. Anal. Appl. 377 (2011), no. 1, 121–134
Preprint
Link to journal
12
covers-volumes
D. Motreanu, P. Winkert
Variational-hemivariational inequalities with nonhomogeneous Neumann boundary condition
Matematiche (Catania) 65 (2010), no. 2, 109–119
Preprint
Link to journal
11
covers-volumes
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
Link to journal
10
covers-volumes
P. Winkert
Local C1-minimizers versus local W1,p-minimizers of nonsmooth functionals
Nonlinear Anal. 72 (2010), no. 11, 4298–4303
Preprint
Link to journal
9
covers-volumes
P. Winkert
L-estimates for nonlinear elliptic Neumann boundary value problems
NoDEA Nonlinear Differential Equations Appl. 17 (2010), no. 3, 289–302
Preprint
Link to journal
8
covers-volumes
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
Link to journal
7
covers-volumes
P. Winkert
Entire extremal solutions for elliptic inclusions of Clarke′s gradient type
Z. Anal. Anwend. 29 (2010), no. 1, 63–75
Preprint
Link to journal
6
covers-volumes
P. Winkert
Comparison principles and multiple solutions for nonlinear elliptic problems
PhD thesis, Martin-Luther-Universität Halle-Wittenberg, Halle, Germany, July 2009
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5
covers-volumes
S. Carl, P. Winkert
General comparison principle for variational-hemivariational inequalities
J. Inequal. Appl. 2009, Art. ID 184348, 29 pp.
Preprint
Link to journal
4
covers-volumes
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
Link to journal
3
covers-volumes
P. Winkert
Discontinuous variational-hemivariational inequalities involving the p-Laplacian
J. Inequal. Appl. 2007, Art. ID 13579, 11 pp.
Preprint
Link to journal
2
covers-volumes
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
covers-volumes
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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Phone: +49 (0) 30 314 - 2 39 74
Email: patrick@winkert.de

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