Nonlinear analysis and semilinear elliptic problems
Antonio Ambrosetti, Andrea Malchiodi
Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such fundamental problems. This graduate text explains some of the key techniques in a way that will be appreciated by mathematicians, physicists and engineers. Starting from elementary tools of bifurcation theory and analysis, the authors cover a number of more modern topics from critical point theory to elliptic partial differential equations. A series of Appendices give convenient accounts of a variety of advanced topics that will introduce the reader to areas of current research. The book is amply illustrated and many chapters are rounded off with a set of exercises.
카테고리:
년:
2007
출판사:
Cambridge University Press
언어:
english
페이지:
330
ISBN 10:
0521863201
ISBN 13:
9780521863209
시리즈:
Cambridge studies in advanced mathematics 104
파일:
PDF, 1.34 MB
IPFS:
,
english, 2007