Existence and multiplicity results to Neumann problems for elliptic equations involving the \(p\)-Laplacian

DOI10.1016/J.JMAA.2012.01.012zbMath1246.35080OpenAlexW2029117486MaRDI QIDQ408249

Angela Sciammetta, Gabriele Bonanno

Publication date: 29 March 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.01.012

zbMATH Keywords

positive solutionscritical pointsboundary value problem\(p\)-LaplacianNeumann problem

Mathematics Subject Classification ID

Variational methods for higher-order elliptic equations (35J35) Positive solutions to PDEs (35B09)

Related Items (12)

Existence of infinitely many solutions for a \(p\)-Kirchhoff problem in RN ⋮ Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type ⋮ Multiplicity results for nonlinear mixed boundary value problem ⋮ Existence and multiplicity of solutions for p-Laplacian Neumann problems ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Bifurcation and nodal solutions for the half-linear problems with nonasymptotic nonlinearity at \(0\) and \(\infty\) ⋮ Reversed S-shaped bifurcation curve for a Neumann problem ⋮ Two non-zero solutions for Sturm-Liouville equations with mixed boundary conditions ⋮ Multiplicity results for a two-point boundary value problem ⋮ Existence and multiplicity results for non-homogeneous Neumann problems in Orlicz-Sobolev spaces ⋮ Unnamed Item ⋮ Infinitely many sign-changing solutions for \(p\)-Laplacian Neumann problems with indefinite weight

Cites Work

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• Dual variational methods in critical point theory and applications
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