Multiplicity of positive solutions for a class of quasilinear nonhomogeneous Neumann problems |
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| Authors: | Emerson A.M. Abreu, Jo o Marcos do
,Everaldo S. Medeiros |
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| Affiliation: | aDepartamento de Matemática, Universidade, Federal de Minas Gerais, CP702-CEP30123-970 Belo Horizonte MG, Brazil;bDepartamento de Matemática, Universidade, Federal de Paraíba, 58059-900 João Pessoa PB, Brazil |
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| Abstract: | In this paper we study the existence, nonexistence and multiplicity of positive solutions for nonhomogeneous Neumann boundary value problem of the type where Ω is a bounded domain in with smooth boundary, 1<p<n,Δpu=div(|u|p-2u) is the p-Laplacian operator, , , (x)0 and λ is a real parameter. The proofs of our main results rely on different methods: lower and upper solutions and variational approach. |
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| Keywords: | Nonlinear elliptic problems Neumann boundary value problems Positive solutions Lower and upper solutions Variational methods p-Laplacian Critical exponent |
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