Perspectives in Nonlinear Partial Differential Equations: In Honor of Haïm Brezis (Google eBook)

Front Cover
Henri Berestycki
American Mathematical Soc. - Mathematics - 495 pages
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In celebration of Haim Brezis's 60th birthday, a conference was held at the Ecole Polytechnique in Paris, with a program testifying to Brezis's wide-ranging influence on nonlinear analysis and partial differential equations. The articles in this volume are primarily from that conference. They present a rare view of the state of the art of many aspects of nonlinear PDEs, as well as describe new directions that are being opened up in this field. The articles, written by mathematicians at the center of current developments, provide somewhat more personal views of the important developments and challenges. In his own work, Brezis has been a seminal influence in many important areas: critical growth in semi-linear equations, variational analysis of functionals in borderline compactness cases, vector valued equations, the Ginzburg-Landau theory, as well as generalized degree theory and fine properties of Sobolev spaces. This same breadth is reflected in the mathematics in this collection. -- Book cover.
  

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Contents

V
1
VI
19
VII
31
VIII
69
IX
101
X
125
XI
153
XII
159
XVIII
273
XIX
297
XX
313
XXI
319
XXII
345
XXIII
385
XXIV
413
XXV
437

XIII
175
XIV
203
XV
215
XVI
245
XVII
255
XXVI
445
XXVII
459
XXVIII
485
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