Handbook of nonconvex analysis and applications:
Saved in:
| Other Authors: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Sommerville, Mass.
International Press
2010
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | VII, 680 S. |
| ISBN: | 9781571462008 |
Staff View
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| 245 | 1 | 0 | |a Handbook of nonconvex analysis and applications |c ed. by David Yang Gao ... |
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Record in the Search Index
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| adam_text | Handbook of Nonconvex Analysis and Applications
Contents
Preface
...............................................................
v
Nonlinear difference equations through variational methods
Gabriele
Bonanno and
Pasquale Candito
.............................. 1
Sub-supersolution method for multi-valued elliptic and
evolution problems
Siegfried Carl and
Dumitru
Motreanu
................................. 45
Prox-regular sets and applications
Giovanni Colombo and Lionel
Thibault
............................... 99
Multiplicity of solutions for nonlinear elliptic equations
with combined nonlinearities
Leszek Gasiński
and
S. Papageorgiou
.................................. 183
Study of some
semilinear
elliptic problems on M.N via
variational methods
Alexandru
Kristály
and Nikolaos S. Papageorgiou
..................... 263
Equations and inequalities in Orlicz—Sobolev spaces:
Selected topics
Vy Khoi
Le
and Klaus
Schmitt........................................ 295
Non-smooth critical point theory
Roberto
Livrea
and
Salvatore
Angelo
Maraño
......................... 353
Evolution hemivariational inequalities with applications
Stanisław Migórski....................................................
409
Morse theory and applications to variational problems
Kanishka Perera
...................................................... 475
Quasiconvex optimization and its applications
Enkhbat Rentsen
..................................................... 507
Nonlinear eigenvalue problems
Biagio Ricceri
......................................................... 543
The method of Nehari manifold
Andrzej
Szulkin and Tobias Wet
h
..................................... 597
Solutions for elliptic problems with precise sign information
Zhitao Zhang
......................................................... 633
Index
................................................................ 679
VII
Handbook
oj
Nonconvex Analysis and Applications
Nonconvex analysis is a rapidly developing, multi-disciplina.;
... ,■ , ............., ■-.
hending theoretical analysis in mathematical modelling of natural systems, bifurcation and
chaos in dynamical systems, finite deformation theory, nonlinear partial differential equa¬
tions, global optimization, calculus of variation, numerical methods, and scientific compu¬
tations. The field of nonconvex analysis has undergone considerable development in a
remarkably short time
—
with extensive applications to theoretical physics, material sci¬
ence, modern mechanics, complex systems, and scientific computations.
The present volume consists of thirteen chapters written by notable experts in the field,
addressing essential recent developments in nonconvex analysis and its applications, and
keeping a balance between major areas of theory, methods, and applications. Each chapter
provides an illuminating exposition of state-of-the-art approaches to a specific topic, with
discussions of the central contributions, and pointers to some basic references. A variety of
topics regarding nonconvex analysis and its applications are discussed: nonconvex
vanational principles; comparison principles; nonlinear eigenvalue problems; critical point
theory; boundary value problems; topological methods, including Morse theory; nonlinear
elliptic equations; evolution problems; difference equations; inequality problems, geomet¬
ric properties of functions and spaces; and applications in mechanics.
This handbook will serve as a much-needed reference for the dynamic and ever-growing
field of nonconvex analysis and its applications.
David Yang
Gao
is Alexander
Rubínov
Professor of Mathematics is the Graduate School
oí
Information
Technolog)
and Mathematical Sciences at the University of
Ballarat,
Australia.
He has published ten books and more than
150
papers on applied mathematics,
mechanics, operations research, and computational science. His research interest has been
focused on duality theory and methods in nonconvex systems with applications in engin¬
eering and sciences.
Dumitru
Motreanu is Professor of Mathematics at the University of
Perpignan
in France.
He has co-authored sLx monographs and more than
170
research articles in the fields of
nonlinear analysis, partial differential equations, and optimization. His current work
concerns nonlinear elliptic equations, spectral problems, and vanational methods.
ISBN
ч?аі57ічьгооа
90000
9
V81571H462008
978-1-57146-200-8
www.
întlpress.eom
|
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| title | Handbook of nonconvex analysis and applications |
| title_auth | Handbook of nonconvex analysis and applications |
| title_exact_search | Handbook of nonconvex analysis and applications |
| title_full | Handbook of nonconvex analysis and applications ed. by David Yang Gao ... |
| title_fullStr | Handbook of nonconvex analysis and applications ed. by David Yang Gao ... |
| title_full_unstemmed | Handbook of nonconvex analysis and applications ed. by David Yang Gao ... |
| title_short | Handbook of nonconvex analysis and applications |
| title_sort | handbook of nonconvex analysis and applications |
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