Multiplicity of positive solutions for semilnear elliptic problems with antipodal symmetry
Słowa kluczowe
Critical exponent, multiple existence, semilinear elliptic problemAbstrakt
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 $f\in L^{2}(\Omega)$.Pobrania
Opublikowane
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 marzec 2005, T. 25, nr 1, s. 155–166. [udostępniono 22.7.2024].
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