ISBN: 3-540-64803-8
TITLE: Calculus of Variations and Partial Differential Equations
AUTHOR: Ambrosio, Luigi; Dancer, Norman
TOC:
Preface V
Table of Contents VII
List of Authors IX
I Geometric Evolution Problems
Introduction 3
Geometric evolution problems, distance function and viscosity
solutions 5
L. Ambrosio
Variational models for phase transitions, an approach via Gamma-convergence 95
G. Alberti
Some aspects of De Giorgi's barriers for geometric evolutions 115
G. Bellettini, M. Novaga
Partial Regularity for Minimizers of Free Discontinuity Problems with p-th
Growth 153
A. Leaci
Free discontinuity problems and their non-local approximation 171
A. Braides
II Degree Theory on Convex Sets and Applications to Bifurcation
Introduction 183
Degree theory on convex sets and applications to bifurcation 185
E. N. Dancer
Nonlinear elliptic equations involving critical Sobolev exponents 227
D. Passaseo
On the existence and multiplicity of positive solutions for semilinear mixed
and Neumann elliptic problems 243
G. Cerami
Solitons and Relativistic Dynamics 259
V. Benci, D. Fortunato
An algebraic approach to nonstandard analysis 285
V. Benci
References 327
Index 345
END