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Displaying similar documents to “On Neumann elliptic problems with discontinuous nonlinearities”

Quasilinear elliptic problems with multivalued terms

Nikolaos Halidias, Nikolaos S. Papageorgiou (2000)

Czechoslovak Mathematical Journal

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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.

The Neumann problem for some degenerate elliptic equations

Albo Carlos Cavalheiro (2006)

Applications of Mathematics

Similarity:

In the paper we study the equation L u = f , where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set Ω . We prove existence and uniqueness of solutions in the space H ( Ω ) for the Neumann problem.