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On the quasilinear elliptic problem with a critical Hardy-Sobolev exponent and a Hardy term. (English) Zbl 1153.35032

Summary: A quasilinear elliptic problem with a critical Sobolev exponent and a Hardy-type term is considered. By means of a variational method, the existence of nontrivial solutions for the problem is obtained. The result depends crucially on the parameters \(p,t,s,\lambda \) and \(\mu \).

MSC:

35J60 Nonlinear elliptic equations
35B33 Critical exponents in context of PDEs
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35J35 Variational methods for higher-order elliptic equations
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