Weak Solutions and Energy Estimates for a Class of Nonlinear Elliptic Neumann Problems

DOI10.1515/ans-2013-0207zbMath1276.35073OpenAlexW2508537147MaRDI QIDQ5299000

Gabriele Bonanno, Giovanni Molica Bisci, Vicenţiu D. Rădulescu

Publication date: 25 June 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.720.1815

zbMATH Keywords

variational methodscritical pointNeumann problemsub-critical growth

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Weak solutions to PDEs (35D30) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

Non-trivial solutions for nonlocal elliptic problems of Kirchhoff-type ⋮ Weak solutions and energy estimates for singular \(p\)-Laplacian-type equations ⋮ Multiplicity results for a two-point boundary value problem ⋮ Semilinear pseudo-parabolic equations on manifolds with conical singularities

Cites Work

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• Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition
• Three solutions to a Neumann problem for elliptic equations involving the \(p\)-Laplacian
• Multiplicity results for a Neumann problem involving the \(p\)-Laplacian.
• A general variational principle and some of its applications
• Multiple Solutions for a Class of Neumann Elliptic Problems on Compact Riemannian Manifolds with Boundary
• INFINITELY MANY SOLUTIONS OF THE NEUMANN PROBLEM FOR ELLIPTIC EQUATIONS INVOLVING THE p-LAPLACIAN
• A multiplicity theorem for the Neumann problem

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