# Article

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Keywords:
subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient
Summary:
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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