Polyharmonic Boundary Value Problems

Polyharmonic Boundary Value Problems
Author: Filippo Gazzola
Publisher: Springer Science & Business Media
Total Pages: 444
Release: 2010-06-03
Genre: Mathematics
ISBN: 3642122442

This accessible monograph covers higher order linear and nonlinear elliptic boundary value problems in bounded domains, mainly with the biharmonic or poly-harmonic operator as leading principal part. It provides rapid access to recent results and references.

Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations
Author: A Benkirane
Publisher: CRC Press
Total Pages: 220
Release: 1996-04-11
Genre: Mathematics
ISBN: 9780582292130

This book presents a collection of selected contributions on recent results in nonlinear partial differential equations from participants to an international conference held in Fes, Morocco in 1994. The emphasis is on nonlinear elliptic boundary value problems, but there are also papers deveoted to related areas such as monotone operator theory, calculus of variations, Hamiltonian systems and periodic solutions. Some of the papers are exhaustive surveys, while others contain new results,published here for the first time. This book will be of particular interest to graduate or postgraduate students as well as to specialists in these areas.

Critical Point Theory and Its Applications

Critical Point Theory and Its Applications
Author: Wenming Zou
Publisher: Springer Science & Business Media
Total Pages: 323
Release: 2006-09-10
Genre: Mathematics
ISBN: 0387329684

This book presents some of the latest research in critical point theory, describing methods and presenting the newest applications. Coverage includes extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. Applications described include Hamiltonian systems, Schrödinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations.