## Elliptic and Parabolic Problems: A Special Tribute to the Work of Haim Brezis (Google eBook)Catherine Bandle, Henri Berestycki, Bernhard Brighi, Alain Brillard, Michel Chipot, Jean-Michel Coron, Carlo Sbordone, Itai Shafrir, Vanda Valente, Giorgio Vergara Caffarelli Haim Brezis has made significant contributions in the fields of partial differential equations and functional analysis, and this volume collects contributions by his former students and collaborators in honor of his 60th anniversary at a conference in Gaeta. It presents new developments in the theory of partial differential equations with emphasis on elliptic and parabolic problems. |

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### Contents

13 | |

A Bermúdez R Leira M C Muniz and F Pena | 33 |

Betelú M A Fontelos and U Kindelán | 51 |

Lucio Boccardo | 67 |

Bernard Brighi and JeanDavid Hoernel | 83 |

A Canada J A Montero and S Villegas | 103 |

A Canada and D Ruiz | 111 |

Ana Carpio | 127 |

Jérôme Droniou | 235 |

Alberto Fiorenza | 259 |

Thierry Gallouët | 279 |

Mohammed Guedda | 298 |

S Kamin H Berestycki L Kagan and G Sivashinsky | 319 |

Jean Mawhin | 342 |

Sergio Polidoro | 365 |

Vicentiu Radulescu | 389 |

Michel Chipot and Yitian | 147 |

Comte | 173 |

Juan Dávila and Marcelo Montenegro | 189 |

U De Maio and T A Melnyk | 207 |

Marc Oliver Rieger | 402 |

Valente | 423 |

Laurent Véron | 453 |

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2005 Birkhäuser Verlag algorithm Anal Appl Applications approximation assume assumption asymptotic behavior Birkhäuser Verlag Basel/Switzerland blow-up boundary conditions boundary value problem Brezis Cantor set coagulation coefficients compact compact support computation consider control system convergence convex D´ıaz deﬁned deﬁnition denote differential equations dimension Dirichlet e-mail elliptic equations elliptic problems energy estimates exists finite ﬁrst fractal fragmentation equation free boundary function given global Harnack inequality integral Lagrangian large solution Lemma linear Math Mathematics Mathematics Subject Classification maximum principle mesh method metric minimizers monotone Moreover nonlinear nonlinear elliptic numerical obtain operator parabolic partial differential equations PDEs porous medium positive constant proof of Theorem Proposition proved Radon measure regularity satisﬁes satisfying Section self-similar semilinear sequence similar solutions singular Sobolev space subset theory Wasserstein metrics wave fronts weak solution Young measures