Nonlinear Analysis and its Applications to Differential Equations

✍ Scribed by M.R. Grossinho, M. Ramos, C. Rebelo, L. Sanchez (eds.)

• Publisher: Birkhäuser, Birkhäuser Boston, Imprint
• Year: 2001
• Tongue: English
• Leaves: 381
• Series: Progress in nonlinear differential equations and their applications 43
• Edition: Softcover reprint of the original 1st ed. 2001
• Category: Library

✦ Synopsis

In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica

✦ Table of Contents

Front Matter....Pages i-xiii
Front Matter....Pages 1-1
An Overview of the Method of Lower and Upper Solutions for ODEs....Pages 3-22
On the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Flow....Pages 23-35
Periodic Solutions of Systems with p-Laplacian-like Operators....Pages 37-63
Mechanics on Riemannian Manifolds....Pages 65-84
Twist Mappings, Invariant Curves and Periodic Differential Equations....Pages 85-112
Variational Inequalities,Bifurcation and Applications....Pages 113-143
Front Matter....Pages 145-145
Complex Dynamics in a Class of Reversible Equations....Pages 147-159
Symmetry and Monotonicity Results for Solutions of Certain Elliptic PDEs on Manifolds....Pages 161-173
Nielsen Number and Multiplicity Results for Multivalued Boundary Value Problems....Pages 175-187
Bifurcation Theory and Application to Semilinear Problems near the Resonance Parameter....Pages 189-200
Orientation and Degree for Fredholm Maps of Index Zero Between Banach Spaces....Pages 201-213
On the Method of Upper and Lower Solutions for First Order BVPs....Pages 215-219
Nonlinear Optimal Control Problems for Diffusive Elliptic Equations of Logistic Type....Pages 221-230
On The Use of Time-Maps in Nonlinear Boundary Value Problems....Pages 231-242
Some Aspects of Nonlinear Spectral Theory....Pages 243-251
Asymmetric Nonlinear Oscillators....Pages 253-256
Hopf Bifurcation for a Delayed Predator-Prey Model and the Effect of Diffusion....Pages 257-268
Galerkin-Averaging Method in Infinite-Dimensional Spaces for Weakly Nonlinear Problems....Pages 269-279
PBVPs for Ordinary Impulsive Differential Equations....Pages 281-288
Homoclinic and Periodic Solutions for Some Classes of Second Order Differential Equations....Pages 289-298
Front Matter....Pages 145-145
Global Bifurcation for Monge-Ampère Operators....Pages 299-309
The Dual Variational Method in Nonlocal Semilinear Tricomi Problems....Pages 311-319
Symmetry Properties of Positive Solutions of Nonlinear Differential Equations Involving the p-Laplace Operator....Pages 321-338
A Maximum Principle with Applications to the Forced Sine-Gordon Equation....Pages 339-346
Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems....Pages 347-356
Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains....Pages 357-368
Back Matter....Pages 369-380
....Pages 381-384

✦ Subjects

Mathematics;Functional analysis;Differential equations;Differential equations, Partial;Equações diferenciais não lineares;Équations différentielles;Analyse fonctionnelle non linéaire;Differentialgleichung;Nichtlineare Funktionalanalysis