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On elliptic systems with discontinuous nonlinearities
Authors:Liu Zhenhai
Institution:(1) Department of Applied Mathematics, Shanghai Jiao Tong University, 200030 Shanghai, People's Republic of China
Abstract:In this paper we deal with elliptic systems with discontinuous nonlinearities. The discontinuous nonlinearities are assumed to satisfy quasimonotone conditions. We shall use the method of upper and lower solutions with fixed point theorems on increasing operators in ordered Banach spaces to show some existence theorems.
Keywords:Primary 35J65
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