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1

Long time behavior of the master equation in mean field game theory

Cardaliaguet, Pierre, Porretta, Alessio

Journal:

Année:

2019

Langue:

english

Fichier:

PDF, 854 KB

english, 2019

2

Uniqueness results for pseudomonotone problems with

Juan Casado-Díaz, François Murat, Alessio Porretta

Journal:

Comptes Rendus Mathematique

Année:

2007

Fichier:

PDF, 145 KB

2007

3

Symmetry of large solutions of nonlinear elliptic equations in a ball

Alessio Porretta, Laurent Véron

Journal:

Journal of Functional Analysis

Année:

2006

Langue:

english

Fichier:

PDF, 124 KB

english, 2006

4

Nonhomogeneous Dirichlet Problems for Degenerate Parabolic-Hyperbolic Equations

Corrado Mascia, Alessio Porretta, Andrea Terracina

Journal:

Archive for Rational Mechanics and Analysis

Année:

2002

Langue:

english

Fichier:

PDF, 260 KB

english, 2002

5

On the Notion of Renormalized Solution to Nonlinear Parabolic Equations with General Measure Data

Petitta, Francesco, Porretta, Alessio

Journal:

Journal of Elliptic and Parabolic Equations

Année:

2015

Langue:

english

Fichier:

PDF, 255 KB

english, 2015

6

[Springer INdAM Series] Trends in Control Theory and Partial Differential Equations Volume 32 ||

Alabau-Boussouira, Fatiha, Ancona, Fabio, Porretta, Alessio, Sinestrari, Carlo

Année:

2019

Langue:

english

Fichier:

PDF, 3.72 MB

english, 2019

7

Existence results for nonlinear parabolic equations via strong convergence of truncations

Alessio Porretta

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Année:

1999

Langue:

english

Fichier:

PDF, 1.27 MB

english, 1999

8

On the Planning Problem for the Mean Field Games System

Porretta, Alessio

Journal:

Dynamic Games and Applications

Année:

2014

Langue:

english

Fichier:

PDF, 531 KB

english, 2014

9

Local and global regularity of weak solutions of elliptic equations with superquadratic Hamiltonian

Dall’Aglio, Andrea, Porretta, Alessio

Journal:

Transactions of the American Mathematical Society

Année:

2015

Langue:

english

Fichier:

PDF, 300 KB

english, 2015

10

Weak Solutions to Fokker–Planck Equations and Mean Field Games

Porretta, Alessio

Journal:

Archive for Rational Mechanics and Analysis

Année:

2015

Langue:

english

Fichier:

PDF, 608 KB

english, 2015

11

Asymptotic Behaviour of the Gradient of Large Solutions to Some Nonlinear Elliptic Equations

Alessio, Porretta, Laurent, Véron

Journal:

Advanced Nonlinear Studies

Année:

2006

Langue:

english

Fichier:

PDF, 479 KB

english, 2006

12

Large solutions and gradient bounds for quasilinear elliptic equations

Leonori, Tommaso, Porretta, Alessio

Journal:

Communications in Partial Differential Equations

Année:

2016

Langue:

english

Fichier:

PDF, 583 KB

english, 2016

13

Sobolev regularity for the first order Hamilton–Jacobi equation

Cardaliaguet, Pierre, Porretta, Alessio, Tonon, Daniela

Journal:

Calculus of Variations and Partial Differential Equations

Année:

2015

Langue:

english

Fichier:

PDF, 651 KB

english, 2015

14

On the weak theory for mean field games systems

Porretta, Alessio

Journal:

Bollettino dell'Unione Matematica Italiana

Année:

2016

Langue:

english

Fichier:

PDF, 642 KB

english, 2016

15

Mean field games with congestion

Achdou, Yves, Porretta, Alessio

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Année:

2017

Langue:

english

Fichier:

PDF, 1.35 MB

english, 2017

16

[Springer INdAM Series] PDE Models for Multi-Agent Phenomena Volume 28 ||

Cardaliaguet, Pierre, Porretta, Alessio, Salvarani, Francesco

Année:

2018

Langue:

english

Fichier:

PDF, 4.83 MB

english, 2018

17

Long time behavior of the master equation in mean field game theory

Cardaliaguet, Pierre, Porretta, Alessio

Journal:

Année:

2019

Fichier:

PDF, 854 KB

2019

18

Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms

Nathalie Grenon, François Murat, Alessio Porretta

Journal:

Comptes Rendus Mathematique

Année:

2006

Langue:

french

Fichier:

PDF, 99 KB

french, 2006

19

Symétrie des grandes solutions d'équations elliptiques semi linéaires

Alessio Porretta, Laurent Véron

Journal:

Comptes Rendus Mathematique

Année:

2006

Fichier:

PDF, 110 KB

2006

20

Approximation of diffuse measures for parabolic capacities

Francesco Petitta, Augusto C. Ponce, Alessio Porretta

Journal:

Comptes Rendus Mathematique

Année:

2008

Langue:

french

Fichier:

PDF, 143 KB

french, 2008

21

Some elliptic problems with singular natural growth lower order terms

David Arcoya, Lucio Boccardo, Tommaso Leonori, Alessio Porretta

Journal:

Journal of Differential Equations

Année:

2010

Langue:

english

Fichier:

PDF, 280 KB

english, 2010

22

On the large time behavior of solutions of the Dirichlet problem for subquadratic viscous Hamilton–Jacobi equations

Guy Barles, Alessio Porretta, Thierry Tabet Tchamba

Journal:

Journal de Mathématiques Pures et Appliquées

Année:

2010

Fichier:

PDF, 241 KB

2010

23

Existence and comparison of maximal and minimal solutions for pseudomonotone elliptic problems in L1

Juan Casado-Dı́az, Alessio Porretta

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

2003

Langue:

english

Fichier:

PDF, 247 KB

english, 2003

24

Entropy solutions for nonlinear elliptic equations in L1

Chiara Leone, Alessio Porretta

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Année:

1998

Langue:

english

Fichier:

PDF, 446 KB

english, 1998

25

Uniqueness of solutions of some elliptic equations without condition at infinity

Alessio Porretta

Journal:

Comptes Rendus Mathematique

Année:

2002

Langue:

french

Fichier:

PDF, 63 KB

french, 2002

26

Elliptic equations with vertical asymptotes in the nonlinear term

Louis Dupaigne, Augusto C. Ponce, Alessio Porretta

Journal:

Journal d'Analyse Mathématique

Année:

2006

Langue:

english

Fichier:

PDF, 1.95 MB

english, 2006

27

Some noncoercive parabolic equations with lower order terms in divergence form

Lucio Boccardo, Luigi Orsina, Alessio Porretta

Journal:

Journal of Evolution Equations

Année:

2003

Langue:

english

Fichier:

PDF, 138 KB

english, 2003

28

Diffuse measures and nonlinear parabolic equations

Francesco Petitta, Augusto C. Ponce, Alessio Porretta

Journal:

Journal of Evolution Equations

Année:

2011

Langue:

english

Fichier:

PDF, 473 KB

english, 2011

29

Uniqueness of solutions for some nonlinear Dirichlet problems

Alessio Porretta

Journal:

Nonlinear Differential Equations and Applications NoDEA

Année:

2004

Langue:

english

Fichier:

PDF, 243 KB

english, 2004

30

Gradient Bounds for Elliptic Problems Singular at the Boundary

Tommaso Leonori, Alessio Porretta

Journal:

Archive for Rational Mechanics and Analysis

Année:

2011

Langue:

english

Fichier:

PDF, 431 KB

english, 2011

31

Symmetry properties of solutions of semilinear elliptic equations in the plane

Alessio Porretta, Laurent Véron

Journal:

manuscripta mathematica

Année:

2004

Langue:

english

Fichier:

PDF, 186 KB

english, 2004

32

Parabolic Capacity and Soft Measures for Nonlinear Equations

Jérôme Droniou, Alessio Porretta, Alain Prignet

Journal:

Potential Analysis

Année:

2003

Langue:

english

Fichier:

PDF, 432 KB

english, 2003

33

Null controllability of viscous Hamilton–Jacobi equations

Alessio Porretta, Enrique Zuazua

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Année:

2012

Langue:

english

Fichier:

PDF, 341 KB

english, 2012

34

Asymptotic behavior of elliptic variational inequalities with measure data

Porretta, Alessio

Journal:

Applicable Analysis

Année:

1999

Langue:

english

Fichier:

PDF, 453 KB

english, 1999

35

Separable solutions of quasilinear Lane–Emden equations

Porretta, Alessio, Véron, Laurent

Journal:

Journal of the European Mathematical Society

Année:

2013

Langue:

english

Fichier:

PDF, 167 KB

english, 2013

36

Uniqueness for elliptic problems with Hölder--type dependence on the solution

Boccardo, Lucio, Porretta, Alessio

Journal:

Communications on Pure and Applied Analysis

Année:

2012

Langue:

english

Fichier:

PDF, 416 KB

english, 2012

37

On the planning problem for a class of Mean Field Games

Porretta, Alessio

Journal:

Comptes Rendus Mathematique

Année:

2013

Langue:

french

Fichier:

PDF, 228 KB

french, 2013

38

Long Time versus Steady State Optimal Control

Porretta, Alessio, Zuazua, Enrique

Journal:

SIAM Journal on Control and Optimization

Année:

2013

Langue:

english

Fichier:

PDF, 337 KB

english, 2013

39

The Boundary Behavior of Blow-Up Solutions Related to a Stochastic Control Problem with State Constraint

Leonori, Tommaso, Porretta, Alessio

Journal:

SIAM Journal on Mathematical Analysis

Année:

2008

Langue:

english

Fichier:

PDF, 342 KB

english, 2008

40

L 1 Solutions to First Order Hyperbolic Equations in Bounded Domains

Porretta, Alessio, Vovelle, Julien

Journal:

Communications in Partial Differential Equations

Année:

2003

Langue:

english

Fichier:

PDF, 400 KB

english, 2003

41

STRONG STABILITY RESULTS FOR NONLINEAR ELLIPTIC EQUATIONS WITH RESPECT TO VERY SINGULAR PERTURBATION OF THE DATA

ORSINA, LUIGI, PORRETTA, ALESSIO

Journal:

Communications in Contemporary Mathematics

Année:

2001

Langue:

english

Fichier:

PDF, 345 KB

english, 2001

42

EXISTENCE OF FINITE ENERGY SOLUTIONS FOR ELLIPTIC SYSTEMS WITH L 1 -VALUED NONLINEARITIES

BOCCARDO, LUCIO, ORSINA, LUIGI, PORRETTA, ALESSIO

Journal:

Mathematical Models and Methods in Applied Sciences

Année:

2008

Langue:

english

Fichier:

PDF, 344 KB

english, 2008

43

Separable p-harmonic functions in a cone and related quasilinear equations on manifolds

Porretta, Alessio, Véron, Laurent

Journal:

Journal of the European Mathematical Society

Année:

2009

Langue:

english

Fichier:

PDF, 226 KB

english, 2009

44

Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators

Berestycki, Henri, Capuzzo Dolcetta, Italo, Porretta, Alessio, Rossi, Luca

Journal:

Journal de Mathématiques Pures et Appliquées

Année:

2015

Fichier:

PDF, 995 KB

2015

45

Second order mean field games with degenerate diffusion and local coupling

Cardaliaguet, Pierre, Graber, P. Jameson, Porretta, Alessio, Tonon, Daniela

Journal:

Nonlinear Differential Equations and Applications NoDEA

Année:

2015

Langue:

english

Fichier:

PDF, 715 KB

english, 2015

46

Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games

Achdou, Yves, Porretta, Alessio

Journal:

SIAM Journal on Numerical Analysis

Année:

2016

Langue:

english

Fichier:

PDF, 297 KB

english, 2016

47

Strongly coupled elliptic equations related to mean-field games systems

Boccardo, Lucio, Orsina, Luigi, Porretta, Alessio

Journal:

Journal of Differential Equations

Année:

2016

Langue:

english

Fichier:

PDF, 1.41 MB

english, 2016

48

Comparison principles forp-Laplace equations with lower order terms

Leonori, Tommaso, Porretta, Alessio, Riey, Giuseppe

Journal:

Annali di Matematica Pura ed Applicata (1923 -)

Année:

2017

Langue:

english

Fichier:

PDF, 628 KB

english, 2017

49

Numerical hypocoercivity for the Kolmogorov equation

Porretta, Alessio, Zuazua, Enrique

Journal:

Mathematics of Computation

Année:

2016

Langue:

english

Fichier:

PDF, 297 KB

english, 2016

50

On the comparison principle for unbounded solutions of elliptic equations with first order terms

Leonori, Tommaso, Porretta, Alessio

Journal:

Journal of Mathematical Analysis and Applications

Année:

2017

Langue:

english

Fichier:

PDF, 312 KB

english, 2017