UTHSCSA Press ISSN 1536-1365

ADVANCED NONLINEAR STUDIES

Volume 3

Number 2

May 2003


TABLE OF CONTENTS


On Existence and Concentration of Solutions for a
Class of Hamiltonian Systems in RN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161
C.O. Alves, S.H.M. Soares, Jianfu Yang

Uniform Bounds for the Best Sobolev Trace Constant . . . . . . . . . . . . . . . . . . . . . . . 181
Julian Fernandez Bonder, Julio D. Rossi, Raul Ferreira

Existence and Uniqueness of Positive Large
Solutions to Some Cooperative Elliptic Systems . . . . . . . . . . . . . . . . . . . . . . . . . 193
Jorge Garcia-Melian, Antonio Suarez

Asymptotic Estimates of the First Eigenvalue of
the ƒÏ-Laplacian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207
Bruno Colbois, Ana-Maria Matei

Absence of Solutions for Some Elliptic Equations
and Systems in Half-Space with Nonlinear
Neumann Boundary Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .219
Nabana Eric

Existence and Nonexistence of Positive Solutions of
Indefinite Elliptic Problems in RN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231
Matthias Schneider

A Note on Bifurcation from the Essential Spectrum . . . . . . . . . . . . . . . . . . . . . . . .261
Marino Badiale

On Uniqueness of Positive Solutions of Semilinear
Elliptic Equations with Singular Potential . . . . . . . . . . . . . . . . . . . . . . . . . . . 273
Manuela Chaves, Jesus Garcia-Azorero

Perturbation of Global Solution Curves for
Semilinear Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .289
Philip Korman, Yi Li, Tiancheng Ouyang



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