Multiplicity of positive solutions for semilnear elliptic problems with antipodal symmetry
Keywords
Critical exponent, multiple existence, semilinear elliptic problemAbstract
In this paper, we show the multiple existence of positive solutions of semilinear elliptic problems of the form $$ -\Delta u=\vert u\vert ^{2^{*}-2}u+f, \quad u\in H_{0}^{1}(\Omega), $$ where $\Omega\subset{\mathbb R}^{N}$ is a bounded domain, $2^{*}$ is the Sobolev critical exponent and $f\in L^{2}(\Omega)$.Downloads
Published
2005-03-01
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1.
HIRANO, Norimichi. Multiplicity of positive solutions for semilnear elliptic problems with antipodal symmetry. Topological Methods in Nonlinear Analysis. Online. 1 March 2005. Vol. 25, no. 1, pp. 155 - 166. [Accessed 23 April 2024].
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