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
