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Multiple existence of solutions for a semilinear elliptic problem with nonconstant coefficients

โœ Scribed by Norimichi Hirano

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
350 KB
Volume
61
Category
Article
ISSN
0362-546X

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โœฆ Synopsis

Let N 7, 2 * =2N/(N -2) and โŠ‚ R N be a bounded domain with a smooth boundary j and a :

-โ†’ R is a continuous mapping. In this paper we consider the existence and multiplicity of positive solutions of Dirichlet boundary value problem of the form -%(a(y)%u) = |u| 2 * -2 u, u โˆˆ H 1 0 ( ).

๐Ÿ“œ SIMILAR VOLUMES

Existence of multiple nontrivial solutio
Existence of multiple nontrivial solutions for semilinear elliptic problems
โœ A.R. El Amrouss; F. Moradi; M. Moussaoui ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 634 KB

The aim of this paper is to prove the existence of multiple nontrivial solutions to a semilinear elliptic problem at resonance. The proofs used here are based on combining the Morse theory and the minimax methods.

Existence and Multiplicity of Solutions
Existence and Multiplicity of Solutions for a Class of Semilinear Elliptic Equations
โœ Shui-Qiang Liu; Chun-Lei Tang ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 92 KB

The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.