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| ISSN 1536-1365
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ADVANCED NONLINEAR STUDIES
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Volume 6
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Number 3
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August 2006
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TABLE OF CONTENTS
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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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