Nonlinear elliptic equations involving the p-Laplacian with mixed Dirichlet-Neumann boundary conditions

In this paper, a nonlinear differential problem involving the \(p\)-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract...

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Bibliographic Details
Published inRocznik Akademii Górniczo-Hutniczej im. Stanisława Staszica. Opuscula Mathematica Vol. 39; no. 2; pp. 159 - 174
Main Authors Bonanno, Gabriele, D'Aguì, Giuseppina, Sciammetta, Angela
Format Journal Article
LanguageEnglish
Published AGH Univeristy of Science and Technology Press 2019
Subjects
critical points
mixed problem
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ISSN1232-9274
DOI10.7494/OpMath.2019.39.2.159

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Summary:In this paper, a nonlinear differential problem involving the \(p\)-Laplacian operator with mixed boundary conditions is investigated. In particular, the existence of three non-zero solutions is established by requiring suitable behavior on the nonlinearity. Concrete examples illustrate the abstract results.
ISSN:1232-9274
DOI:10.7494/OpMath.2019.39.2.159