EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR DEGENERATE p(x)-LAPLACE EQUATIONS INVOLVING CONCAVE-CONVEX TYPE NONLINEARITIES WITH TWO PARAMETERS
نویسندگان
چکیده
We show the existence of two nontrivial nonnegative solutions and infinitely many solutions for degenerate p(x)-Laplace equations involving concaveconvex 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.
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