[图书][B] Linear and nonlinear functional analysis with applications

PG Ciarlet - 2013 - SIAM
For more details about the topologies of the spaces P (Ω) and P/(Ω), see Yosida [1966], Vo-
Khac [1972a, 1972b], Hörmander [1983, Chapters 1–7], Duistermaat & Kolk [2010], and of …

Shape optimization by the homogenization method

G Allaire, E Bonnetier, G Francfort, F Jouve - Numerische Mathematik, 1997 - Springer
In the context of shape optimization, we seek minimizers of the sum of the elastic compliance
and of the weight of a solid structure under specified loading. This problem is known not to …

[图书][B] Topological and variational methods with applications to nonlinear boundary value problems

D Motreanu, VV Motreanu, NS Papageorgiou - 2014 - Springer
This monograph presents fundamental methods and topics in nonlinear analysis and their
efficient application to nonlinear boundary value problems for elliptic equations. The book is …

[图书][B] Moduli in modern mapping theory

O Martio, V Ryazanov, U Srebro, E Yakubov - 2008 - books.google.com
Page 1 OLLI MARTIO VLADIMIR RYAZANOV URI SREBRO EDUARD YAKUBOV Moduli in
Modern Mapping Theory Springer Springer Monographs in Mathematics Page 2 Springer …

[图书][B] Nonlinear analysis and semilinear elliptic problems

A Ambrosetti, A Malchiodi - 2007 - books.google.com
Many problems in science and engineering are described by nonlinear differential
equations, which can be notoriously difficult to solve. Through the interplay of topological …

A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence

G Friesecke, RD James, S Müller - Archive for rational mechanics and …, 2006 - Springer
We derive a hierarchy of plate models from three-dimensional nonlinear elasticity by Γ-
convergence. What distinguishes the different limit models is the scaling of the elastic …

[图书][B] Perturbation Methods and Semilinear Elliptic Problems on Rn

A Ambrosetti, A Malchiodi - 2006 - Springer
In this section we recall some well-known concepts in Riemannian geometry. In the
presentation we will be as concise as possible, in order to arrive soon to the Yamabe …

[图书][B] Topological degree theory and applications

YJ Cho, YQ Chen - 2006 - taylorfrancis.com
Since the 1960s, many researchers have extended topological degree theory to various non-
compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis …

Brouwer degree

G Dinca, J Mawhin - The Core of Nonlinear Analysis-Birkhuser, 2021 - Springer
Solving equations and widening the concept of solutions has been a driving force of the
progress and evolution of mathematics. After the study of linear scalar algebraic equations …

[图书][B] The Mountain Pass Theorem: variants, generalizations and some applications

Y Jabri - 2003 - books.google.com
This 2003 book presents min-max methods through a study of the different faces of the
celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led …