Quasilinear elliptic problems with multivalued terms

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作者
Nikolaos Halidias
Nikolaos S. Papageorgiou
机构
[1] National Technical University,Department of Mathematics
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关键词
subdifferential; critical point; Palais-Smale condition; Mountain Pass Theorem; Saddle Point Theorem; multivalued term; Dirichlet problem; Neumann problem; p-Laplacian; Rayleigh quotient;
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摘要
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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页码:803 / 823
页数:20
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