Multiple solutions for a class of elliptic equations of p-Laplacian type with combined nonlinearities

摘要

In this article, we deal with the mutliplicity of solutions to a class of elliptic equations of p-Laplacian type where ? C R~N, N ≥ 2 is a bounded domain with smooth boundary ??,λ,μ are parameters. The function f: R → R is assumed to be (p - 1)-sublinear at infinity while the function g: ? × → R is (p-1)-asymptotically linear at infinity with respect to the second variable. The proofs rely essentially on the minimax principle by B. Ricceri [12] combined with the mountain pass theorem by P. Pucci and J. Serrin [11]