Existence of weak solutions is shown for a Neumann elliptic problem with discontinuous nonlinearity, plus an estimate for well-posedness under smoother boundary data.
Dai,Nonsmooth version of Fountain theorem and its application to a Dirichlet-type differential inclusion problem, Nonlinear Anal.,72(2010), no
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Neumann problem with a discontinuous nonlinearity
Existence of weak solutions is shown for a Neumann elliptic problem with discontinuous nonlinearity, plus an estimate for well-posedness under smoother boundary data.