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

Publisher: 
Birkhäuser
Number of Pages: 
518
Price: 
179.00
ISBN: 
3-7643-7149-8
Date Received: 
Wednesday, December 28, 2005
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
Thierry Cazenave, David Costa, Orlando Lopes, Raú Manásevich, Paul Rabinowitz, Bernhard Ruf, Carlos Tomei, editors
Series: 
Progress in Nonlinear Differential Equations and Their Applications 66
Publication Date: 
2006
Format: 
Hardcover
Category: 
Festschrift

Contents

Dedication. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix

J. Palis

On Djairo de Figueiredo. A Mathematician . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .xi

E.A.M. Abreu, P.C. Carri˜ao and O.H. Miyagaki

Remarks on a Class of Neumann Problems Involving Critical Exponents . 1

C.O. Alves and M.A.S. Souto

Existence of Solutions for a Class of Problems in IRN Involving

the p(x)-Laplacian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .17

V. Benci and D. Fortunato

A Unitarian Approach to Classical Electrodynamics:

The Semilinear Maxwell Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33

V. Benci, C.R. Grisanti and A.M. Micheletti

Existence of Solutions for the Nonlinear Schr¨odinger Equation

with V () = 0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

R.C. Char˜ao, E. Bisognin, V. Bisognin and A.F. Pazoto

Asymptotic Behavior of a Bernoulli–Euler Type Equation with

Nonlinear Localized Damping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .67

L. Boccardo

T-minima . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93

S. Bolotin and P.H. Rabinowitz

A Note on Heteroclinic Solutions of Mountain Pass Type

for a Class of Nonlinear Elliptic PDE’s . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

Y. Bozhkov and E. Mitidieri

Existence of Multiple Solutions for Quasilinear Equations

via Fibering Method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115

D. Castorina and F. Pacella

Symmetry of Solutions of a Semilinear Elliptic Problem

in an Annulus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135

A. Castro and J. Cossio

Construction of a Radial Solution to a Superlinear Dirichlet Problem

that Changes Sign Exactly Once . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 149

vi Contents

M.M. Cavalcanti, V.N. Domingos Cavalcanti and J.A. Soriano

Global Solvability and Asymptotic Stability for the Wave Equation

with Nonlinear Boundary Damping and Source Term . . . . . . . . . . . . . . . . . . 161

T. Cazenave, F. Dickstein and F.B. Weissler

Multiscale Asymptotic Behavior of a Solution of the Heat Equation

on RN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 185

F.J.S.A. Corrˆea and S.D.B. Menezes

Positive Solutions for a Class of Nonlocal Elliptic Problems . . . . . . . . . . . . 195

D.G. Costa and O.H. Miyagaki

On a Class of Critical Elliptic Equations of

Caffarelli-Kohn-Nirenberg Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207

Y. Ding and A. Szulkin

Existence and Number of Solutions for a Class of Semilinear

Schr¨odinger Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .221

J.M. do ´ O, S. Lorca and P. Ubilla

Multiparameter Elliptic Equations in Annular Domains . . . . . . . . . . . . . . . . 233

C.M. Doria

Variational Principle for the Seiberg–Witten Equations . . . . . . . . . . . . . . . . 247

P. Felmer and A. Quaas

Some Recent Results on Equations Involving the Pucci’s Extremal

Operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 263

J. Fleckinger-Pell´e, J.-P. Gossez and F. de Th´elin

Principal Eigenvalue in an Unbounded Domain and a Weighted

Poincar´e Inequality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .283

C.L. Frota and N.A. Larkin

Uniform Stabilization for a Hyperbolic Equation with Acoustic

Boundary Conditions in Simple Connected Domains . . . . . . . . . . . . . . . . . . . 297

J.V. Goncalves and C.A. Santos

Some Remarks on Semilinear Resonant Elliptic Problems . . . . . . . . . . . . . . 313

O. Kavian

Remarks on Regularity Theorems for Solutions to Elliptic Equations

via the Ultracontractivity of the Heat Semigroup . . . . . . . . . . . . . . . . . . . . . . 321

Contents vii

F. Ammar Khodja and M.M. Santos

2d Ladyzhenskaya–Solonnikov Problem for Inhomogeneous Fluids . . . . . .351

Y.Y. Li and L. Nirenberg

Generalization of a Well-known Inequality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 365

D. Lupo, K.R. Payne and N.I. Popivanov

Nonexistence of Nontrivial Solutions for Supercritical Equations

of Mixed Elliptic-Hyperbolic Type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 371

E.S. Medeiros

On the Shape of Least-Energy Solutions to a Quasilinear Elliptic

Equation Involving Critical Sobolev Exponents . . . . . . . . . . . . . . . . . . . . . . . . 391

M. Montenegro and F.O.V. de Paiva

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

Elliptic Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 407

A.S. do Nascimento and R.J. de Moura

The Role of the Equal-Area Condition in Internal and Superficial

Layered Solutions to Some Nonlinear Boundary Value Elliptic

Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .415

R.H.L. Pedrosa

Some Recent Results Regarding Symmetry and Symmetry-breaking

Properties of Optimal Composite Membranes . . . . . . . . . . . . . . . . . . . . . . . . . .429

A.L. Pereira and M.C. Pereira

Generic Simplicity for the Solutions of a Nonlinear Plate Equation . . . . .443

J.D. Rossi

An Estimate for the Blow-up Time in Terms of the Initial Data . . . . . . . .465

B. Ruf

Lorentz Spaces and Nonlinear Elliptic Systems . . . . . . . . . . . . . . . . . . . . . . . . 471

N.C. Saldanha and C. Tomei

The Topology of Critical Sets of Some Ordinary Differential Operators .491

P.N. Srikanth and S. Santra

A Note on the Superlinear Ambrosetti–Prodi Type Problem in a Ball . . 505

Publish Book: 
Modify Date: 
Sunday, March 18, 2007

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