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 …
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 …
Page 1 OLLI MARTIO VLADIMIR RYAZANOV URI SREBRO EDUARD YAKUBOV Moduli in Modern Mapping Theory Springer Springer Monographs in Mathematics Page 2 Springer …
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 …
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 …
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 …
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 …
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 …
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 …