Unilateral Boundary Value Problems with Jump Discontinuities
نویسنده
چکیده
Using the critical point theory of Szulkin (1986), we study elliptic problems with unilateral boundary conditions and discontinuous nonlinearities. We do not use the method of upper and lower solutions. We prove two existence theorems: one when the right-hand side is nondecreasing and the other when it is nonincreasing. 1. Introduction. In this paper, using the critical-point theory of Szulkin [10] for lower semicontinuous functionals, we study nonlinear elliptic problems with unilateral boundary conditions and jump discontinuities. Let Z ⊆ R N be
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