Contributions to Nonlinear Analysis - A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday

Contributions to Nonlinear Analysis - A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday

von: Thierry Cazenave, David Costa, Orlando Lopes, Raúl Manásevich, Paul Rabinowitz, Bernhard Ruf, Carlos

Birkhäuser Basel, 2007

ISBN: 9783764374013 , 520 Seiten

Format: PDF, OL

Kopierschutz: Wasserzeichen

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Contributions to Nonlinear Analysis - A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday


 

Dedication

10

On Djairo de Figueiredo. A Mathematician

11

Remarks on a Class of Neumann Problems Involving Critical Exponents

13

Existence of Solutions for a Class of Problems

28

A Unitarian Approach to Classical Electrodynamics: The Semilinear Maxwell Equations

44

Existence of Solutions for the Nonlinear

64

Schr¨ odinger Equation with

64

Asymptotic Behavior of a Bernoulli–Euler Type Equation with Nonlinear Localized Damping

77

T-minima

102

A Note on Heteroclinic Solutions of Mountain Pass Type for a Class of Nonlinear Elliptic PDE’s

113

Existence of Multiple Solutions for Quasilinear Equations via Fibering Method

123

Symmetry of Solutions of a Semilinear Elliptic Problem in an Annulus

143

Construction of a Radial Solution to a Superlinear Dirichlet Problem that Changes Sign Exactly Once

156

Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term

168

Multiscale Asymptotic Behavior of a Solution of the Heat Equation on

192

Positive Solutions for a Class of Nonlocal Elliptic Problems

202

On a Class of Critical Elliptic Equations of Caffarelli- Kohn- Nirenberg Type

214

Existence and Number of Solutions for a Class of Semilinear Schrödinger Equations

228

Multiparameter Elliptic Equations in Annular Domains

239

Variational Principle for the Seiberg– Witten Equations

252

Some Recent Results on Equations Involving the Pucci’s Extremal Operators

267

Principal Eigenvalue in an Unbounded Domain and a Weighted Poincar ´ e Inequality

286

Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains

300

Some Remarks on Semilinear Resonant Elliptic Problems

316

Remarks on Regularity Theorems for Solutions to Elliptic Equations via the Ultracontractivity of the Heat Semigroup

324

2d Ladyzhenskaya–Solonnikov Problem for Inhomogeneous Fluids

354

Generalization of a Well-known Inequality

368

Nonexistence of Nontrivial Solutions for Supercritical Equations of Mixed Elliptic- Hyperbolic Type

374

On the Shape of Least-Energy Solutions to a Quasilinear Elliptic Equation Involving Critical Sobolev Exponents

394

A-priori Bounds and Positive Solutions to a Class of Quasilinear Elliptic Equations

410

The Role of the Equal-Area Condition in Internal and Superficial Layered Solutions to Some Nonlinear Boundary Value Elliptic Problems

417

Some Recent Results Regarding Symmetry and Symmetry- breaking Properties of Optimal Composite Membranes

430

Generic Simplicity for the Solutions of a Nonlinear Plate Equation

444

An Estimate for the Blow-up Time in Terms of the Initial Data

465

Lorentz Spaces and Nonlinear Elliptic Systems

470

The Topology of Critical Sets of Some Ordinary Differential Operators

489

A Note on the Superlinear Ambrosetti–Prodi Type Problem in a Ball

503