Multiplicity of positive solutions for semilnear elliptic problems with antipodal symmetry

Norimichi Hirano

Abstract


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 $f\in L^{2}(\Omega)$.

Keywords


Critical exponent; multiple existence; semilinear elliptic problem

Full Text:

FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism