Handbook of Differential Equations:Stationary Partial Differential Equations

Michel Chipot, Pavol Quittner

• Publisher: North Holland
• Year: 2005
• Print ISBN: 9780444520456
• eBook ISBN: 9780080461076
• Topic: Matematica
• Subtopic: Equazioni differenziali

A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other.Key features: - Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field.- Self-contained volume in series covering one of the most rapid developing topics in mathematics.- 7 Chapters, enriched with numerous figures originating from numerical simulations.- Written by well known experts in the field.

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright page
• Preface
• List of Contributors
• Contents of Volume I
• Chapter 1: The Dirichlet Problem for Superlinear Elliptic Equations
• Chapter 2: Nonconvex Problems of the Calculus of Variations and Differential Inclusions
• Chapter 3: Bifurcation and Related Topics in Elliptic Problems
• Chapter 4: Metasolutions: Malthus versus Verhulst in Population Dynamics. A Dream of Volterra
• Chapter 5: Elliptic Problems with Nonlinear Boundary Conditions and the Sobolev Trace Theorem
• Chapter 6: Schrödinger Operators with Singular Potentials
• Chapter 7: Multiplicity Techniques for Problems without Compactness
• Author Index
• Subject Index