ISSN 1536-1365

ADVANCED NONLINEAR STUDIES

Volume 4

Number 4

November 2004


TABLE OF CONTENTS


On the Number of Solutions to Semilinear
On Some Results of Moser and of Bangert, II. . . . . . . . . . . . . . . . . . . . . . . . 377
Paul H. Rabinowitz, Ed Stredulinsky

Asymptotic Profile for a Fourth Order PDE with
Critical Exponential Growth in Dimension Four . . . . . .  . . . . . . . . . . . . . . . . 397
Frédéric Robert, Michael Struwe

Maximal Regularity for Nonautonomous
Evolution Equations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 417
H. Amann

A Multiplicity Result for Singularly Perturbed
Problems in Topologically Nontrivial Domains . . . . . . . . . . . . . . . . . . . . . . . 431
Giovanna Cerami, Riccardo Molle

Multiplicity Results for the Supercritical
Hénon Equation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .453
Marino Badiale, Enrico Serra

On the Variational Approach to the Stability of
Standing Waves for the Nonlinear Schrödinger Equation . . . . . . . . . . . . . . . . . . .469
H. Hajaiej, C.A. Stuart

Some Remarks on Elliptic Equations with Singular
Potentials and Mixed Boundary Conditions. . . . . . . . . . . . . . . . . . . . . . . . .  503
Boumediene Abdellaoui, Eduardo Colorado, Ireneo Peral

A Simple Approach to Brouwer Degree Based
on Differential Forms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 535
Jean Mawhin


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