Abstract
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin's critical point theory for lower semicontinuous energy functionals.
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Halidias, N., Papageorgiou, N.S. Quasilinear elliptic problems with multivalued terms. Czechoslovak Mathematical Journal 50, 803–823 (2000). https://doi.org/10.1023/A:1022416729213
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DOI: https://doi.org/10.1023/A:1022416729213