Existence Of Solutions For A Class Quasilinear Elliptic Eigenvalue Problems

In this paper, under a generalized Landsman-Lazer condition, by means of methods provided by [3], the deformation Lemma and the approximation method, we get the existence of solutions for the following second order elliptic equations:where is a smooth bounded set in RN , N ≥ 1, 1 < p < N, is the p-Laplacian, . is a parameter, and A can be taken the eigenvalue λk of -△p in...