TY - JOUR
T1 - Existence and Multiplicity Results for Elliptic Equations with Critical Sobolev Exponent and Hardy Term
AU - Yanying Shang  & Chunlei Tang 
JO - Journal of Partial Differential Equations
VL - 4
SP - 289
EP - 298
PY - 2007
DA - 2007/11
SN - 20
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5309.html
KW - Critical Sobolev exponent
KW - Brezis-Lieb lemma
KW - genus
KW - Hardy term
KW - infinitely many solutions
KW - nontrivial solution
AB - <p>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&#39;s variational principle, we conclude the existence of nontrivial solution for this problem, the Clark&#39;s critical point theorem is used to prove the existence of infinitely many solutions for this problem with odd nonlinearity.</p>