On Noncoercive Elliptic Problems with Discontinuities
On Noncoercive Elliptic Problems with Discontinuities
In this paper using the critical point theory of Chang [J. Math. Anal. Appl. 80: 102–129, 1981] for locally Lipschitz functionals we prove an existence theorem for noncoercive Neumann problems with discontinuous nonlinearities. We use the mountain-pass theorem to obtain a nontrivial solution.