ISSN 1536-1365

ADVANCED NONLINEAR STUDIES

Volume 6

Number 3

August 2006


TABLE OF CONTENTS


Asymptotic Behaviour of the Gradient of Large Solutions
to Some Nonlinear Elliptic Equations. . . . . . . . . . . . . . . . . . . . . . . . . . 351
Porretta Alessio, Véron Laurent

Some Notes on Function Spaces and Dirichlet
Forms on Self-Similar Sets. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 379
Yuan LIU, Zhi-Ying WEN

Homoclinic Orbits For First Order Hamiltonian
Systems With Convex Potentials. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 399
Xiangjin Xu

Unique Strong Solutions and V-Attractors of a
Three Dimensional System of Globally Modified
Navier-Stokes Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 411
Tomás Caraballo, José Real, Peter E. Kloeden

Study of the Singular Yamabe Problem in Some 	 
Bounded Domain of Rn. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437
Yomna Rébai

Uniqueness and Exact Multiplicity of Solutions
For Non-autonomous Dirichlet Problems . . . . . . . . . . . . . . . . . . . . . . . . . 461
Phillip Korman

On Stable and Meta-stable Solutions of the
Shadow System For the Geirer-Meinhardt Equation . . . . . . . . . . . . . . . . . . . . 483
E.N. Dancer


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