ABOUT

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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

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

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 2016
Substitute Professor 'Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany (on leave in Berlin)

Spring 2016
Substitute Professor 'Applied Analysis', Martin-Luther-Universität Halle-Wittenberg, Halle, Germany (on leave in Berlin)

2009 – present
Postdoc & 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

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, accepted 2016

Preprint

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

28

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

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

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 5, published on-line as note, 2015.

Preprint

Link to journal

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

Link to journal

24

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

P. Winkert

On the boundedness of solutions to elliptic variational inequalities

Set-Valued Var. Anal. **22** (2014), no. 4, 763–781

Preprint

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

16

P. Winkert, R. Zacher

A priori bounds for weak solutions to elliptic equations with nonstandard growth

Discrete Contin. Dyn. Syst. Ser. S 5 **5** (2012), no. 4, 865–878

Preprint

Link to journal

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

Link to journal

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

Link to journal

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

Link to journal

12

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

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

P. Winkert

Local C^{1}-minimizers versus local W^{1,p}-minimizers of nonsmooth functionals

Nonlinear Anal. **72** (2010), no. 11, 4298–4303

Preprint

Link to journal

9

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

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

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

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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Link to amazon.de

5

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

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

P. Winkert

Discontinuous variational-hemivariational inequalities involving the p-Laplacian

J. Inequal. Appl. **2007**, Art. ID 13579, 11 pp.

Preprint

Link to journal

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)

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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.”

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...

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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