Contributions to Nonlinear Analysis

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

By: Thierry Cazenave (Editor), David Costa (Editor), Orlando Lopes (Editor)

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Hardcover | 18 November 2005

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This volume represents a broad survey of current research in the fields of nonlinear analysis and nonlinear differential equations. It is dedicated to Djairo G. de Figueiredo on the occasion of his 70th birthday. The collection of 34 research and survey articles reflects the wide range of interests of Djairo de Figueiredo, including:- various types of nonlinear partial differential equations and systems, in particular equations of elliptic, parabolic, hyperbolic and mixed type;- equations of Schr”dinger, Maxwell, Navier-Stokes, Bernoulli-Euler, Seiberg-Witten, Caffarelli-Kohn-Nirenberg;- existence, uniqueness and multiplicity of solutions;- critical Sobolev growth and connected phenomena;- qualitative properties, regularity and shape of solutions;- inequalities, a-priori estimates and asymptotic behavior;- various applications to models such as asymptotic membranes, nonlinear plates and inhomogeneous fluids.The contributions of so many distinguished mathematicians to this volume document the importance and lasting influence of the mathematical research of Djairo de Figueiredo. The book thus is a source of new ideas and results and should appeal to graduate students and mathematicians interested in nonlinear problems.

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Dedication	p. ix
On Djairo de Figueiredo. A Mathematician	p. xi
Remarks on a Class of Neumann Problems Involving Critical Exponents	p. 1
Existence of Solutions for a Class of Problems in R^N Involving the p(x)-Laplacian	p. 17
A Unitarian Approach to Classical Electrodynamics: The Semilinear Maxwell Equations	p. 33
Existence of Solutions for the Nonlinear Schrödinger Equation with V (∞) = 0	p. 53
Asymptotic Behavior of a Bernoulli-Euler Type Equation with Nonlinear Localized Damping	p. 67
T-minima	p. 93
A Note on Heteroclinic Solutions of Mountain Pass Type for a Class of Nonlinear Elliptic PDE's	p. 105
Existence of Multiple Solutions for Quasilinear Equations via Fibering Method	p. 115
Symmetry of Solutions of a Semilinear Elliptic Problem in an Annulus	p. 135
Construction of a Radial Solution to a Superlinear Dirichlet Problem that Changes Sign Exactly Once	p. 149
Global Solvability and Asymptotic Stability for the Wave Equation with Nonlinear Boundary Damping and Source Term	p. 161
Multiscale Asymptotic Behavior of a Solution of the Heat Equation on R^N	p. 185
Positive Solutions for a Class of Nonlocal Elliptic Problems	p. 195
On a Class of Critical Elliptic Equations of Caffarelli-Kohn-Nirenberg Type	p. 207
Existence and Number of Solutions for a Class of Semilinear Schrödinger Equations	p. 221
Multiparameter Elliptic Equations in Annular Domains	p. 233
Variational Principle for the Seiberg-Witten Equations	p. 247
Some Recent Results on Equations Involving the Pucci's Extremal Operators	p. 263
Principal Eigenvalue in an Unbounded Domain and a Weighted Poincaré Inequality	p. 283
Uniform Stabilization for a Hyperbolic Equation with Acoustic Boundary Conditions in Simple Connected Domains	p. 297
Some Remarks on Semilinear Resonant Elliptic Problems	p. 313
Remarks on Regularity Theorems for Solutions to Elliptic Equations via the Ultracontractivity of the Heat Semigroup	p. 321
2d Ladyzhenskaya-Solonnikov Problem for Inhomogeneous Fluids	p. 351
Generalization of a Well-known Inequality	p. 365
Nonexistence of Nontrivial Solutions for Supercritical Equations of Mixed Elliptic-Hyperbolic Type	p. 371
On the Shape of Least-Energy Solutions to a Quasilinear Elliptic Equation Involving Critical Sobolev Exponents	p. 391
A-priori Bounds and Positive Solutions to a Class of Quasilinear Elliptic Equations	p. 407
The Role of the Equal-Area Condition in Internal and Superficial Layered Solutions to Some Nonlinear Boundary Value Elliptic Problems	p. 415
Some Recent Results Regarding Symmetry and Symmetry-breaking Properties of Optimal Composite Membranes	p. 429
Generic Simplicity for the Solutions of a Nonlinear Plate Equation	p. 443
An Estimate for the Blow-up Time in Terms of the Initial Data	p. 465
Lorentz Spaces and Nonlinear Elliptic Systems	p. 471
The Topology of Critical Sets of Some Ordinary Differential Operators	p. 491
A Note on the Superlinear Ambrosetti-Prodi Type Problem in a Ball	p. 505
Table of Contents provided by Publisher. All Rights Reserved.

Contributions to Nonlinear Analysis

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

At a Glance

Hardcover

Shipping

How to return your order

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