Existence and multiplicity of solutions for degenerate p(x)-laplace equations involving concave-convex type nonlinearities with two parameters
https://doi.org/10.11650/tjm.19.2015.5187Publisher, magazine: ,
Publication year: 2015
Lưu Trích dẫn Chia sẻAbstract
We show the existence of two nontrivial nonnegative solutions and infinitely many solutions for degenerate p(x)-Laplace equations involving concave-convex type nonlinearities with two parameters. By investigating the order of concave and convex terms and using a variational method, we determine the existence according to the range of each parameter. Some Caffarelli-Kohn-Nirenberg type problems with variable exponents are also discussed.
Tags: p(x)-Laplacian, Weighted variable exponent Lebesgue-Sobolev spaces, Concaveconvex nonlinearities, Nonnegative solutions, Multiplicity.
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