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On a class of Schrödinger systems with discontinuous nonlinearities
Authors:Guoqing Zhang  Yunkai Wang
Affiliation:a Department of Applied Mathematics, Tongji University, Shanghai 200092, PR China
b College of Management, University of Shanghai for Science and Technology, Shanghai 200093, PR China
c College of Sciences, University of Shanghai for Science and Technology, Shanghai 200092, PR China
Abstract:Using a non-smooth critical point theory for locally Lipschitz functionals, we investigate a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The existence of nontrivial solution is obtained.
Keywords:Schrö  dinger systems   Lipschitz functionals   Variational methods
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