Existence and multiplicity of symmetric solutions for a class of singular elliptic problems

Abstract: This paper deals with the singular elliptic problem where is a smooth bounded domain, and is -symmetric with respect to a subgroup of , , , , , , , is continuous and -symmetric on and is a continuous nonlinearity of lower order satisfying some conditions. Based upon the symmetric criticality principle of Palais and variational methods, we obtain several existence and multiplicity results of -symmetric solutions under some assumptions on and . [Copyright &y& Elsevier]