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Multiplicity of solutions for perturbed nonhomogeneous Neumann problem through Orlicz-Sobolev spaces - MaRDI portal

Multiplicity of solutions for perturbed nonhomogeneous Neumann problem through Orlicz-Sobolev spaces (Q696020)

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scientific article; zbMATH DE number 6116351
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Multiplicity of solutions for perturbed nonhomogeneous Neumann problem through Orlicz-Sobolev spaces
scientific article; zbMATH DE number 6116351

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    Multiplicity of solutions for perturbed nonhomogeneous Neumann problem through Orlicz-Sobolev spaces (English)
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    18 December 2012
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    Summary: We investigate the existence of multiple solutions for a class of nonhomogeneous Neumann problem with a perturbed term. By using variational methods and three critical point theorems of B. Ricceri, we establish some new sufficient conditions under which such a problem possesses three solutions in an appropriate Orlicz-Sobolev space.
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    perturbed nonhomogeneous Neumann problem
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    Orlicz-Sobolev spaces
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