Nonlinear analysis and its applications to differential equations
著者
書誌事項
Nonlinear analysis and its applications to differential equations
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, 43）
Springer Science+Business Media, [2013], c2001
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注記
"Softcover reprint of the hardcover 1st edition 2001"--T.p. verso
Other editors: M. Ramos, C. Rebelo, L. Sanchez
Includes bibliographical references
内容説明・目次
内容説明
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
目次
An Overview of the Method of Lower and Upper Solutions for ODEs.- On the Long-time Behaviour of Solutions to the Navier-Stokes Equations of Compressible Flow.- Periodic Solutions of Systems with p-Laplacian-like Operators.- Mechanics on Riemannian Manifolds.- Twist Mappings, Invariant Curves and Periodic Differential Equations.- Variational Inequalities, Bifurcation and Applications.- Complex Dynamics in a Class of Reversible Equations.- Symmetry and Monotonicity Results for Solutions of Certain Elliptic PDEs on Manifolds.- Nielsen Number and Multiplicity Results for Multivalued Boundary Value Problems.- Bifurcation Theory and Application to Semilinear Problems near the Resonance Parameter.- Orientation and Degree for Fredholm Maps of Index Zero Between Banach Spaces.- On the Method of Upper and Lower Solutions for First Order BVPs.- Nonlinear Optimal Control Problems for Diffusive Elliptic Equations of Logistic Type.- On The Use of Time-Maps in Nonlinear Boundary Value Problems.- Some Aspects of Nonlinear Spectral Theory.- Asymmetric Nonlinear Oscillators.- Hopf Bifurcation for a Delayed Predator-Prey Model and the Effect of Diffusion.- Galerkin-Averaging Method in Infinite-Dimensional Spaces for Weakly Nonlinear Problems.- PBVPs for Ordinary Impulsive Differential Equations.- Homoclinic and Periodic Solutions for Some Classes of Second Order Differential Equations.- Global Bifurcation for Monge-Ampere Operators.- Remarks on Boundedness of Semilinear Oscillators.- The Dual Variational Method in Nonlocal Semilinear Tricomi Problems.- Symmetry Properties of Positive Solutions of Nonlinear Differential Equations Involving the p-Laplace Operator.- A Maximum Principle with Applications to the Forced Sine-Gordon Equation.- Lipschitzian Regularity Conditions for the Minimizing Trajectories of Optimal Control Problems.- Abstract Concentration Compactness and Elliptic Equations on Unbounded Domains.
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