Existence and Multiplicity Results for Elliptic Equations with Critical Sobolev Exponent and Hardy Term
Year: 2007
Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 4 : pp. 289–298
Abstract
This paper concerns the existence and multiplicity of solutions for some semilinear elliptic equations with critical Sobolev exponent, Hardy term and the sublinear nonlinearity at origin. By using Ekeland's variational principle, we conclude the existence of nontrivial solution for this problem, the Clark's critical point theorem is used to prove the existence of infinitely many solutions for this problem with odd nonlinearity.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2007-JPDE-5309
Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 4 : pp. 289–298
Published online: 2007-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Critical Sobolev exponent