Existence results of infinitely many solutions for p(x)-Laplacian elliptic Dirichlet problems

摘要

The existence of infinitely many solutions for a Dirichlet problem involving the p(x)-Laplacian is established. In our main result, under an appropriate oscillating behaviour of the nonlinearity and suitable assumptions on the variable exponent, a sequence of pairwise distinct solutions is obtained. Further, some applications and examples are pointed out. In particular, an existence result of infinitely many solutions for a two-point boundary value problem involving the variable exponent is presented. The approach is based on variational methods.View full textDownload full textKeywords p(x)-Laplacian, variable exponent Sobolev spacesAMS Subject Classifications:35J60, 35J20Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/17476933.2012.662225