Multiplicity results for nonlinear Neumann boundary value problems involving \(p\)-Laplace type operators

DOI10.1186/S13661-016-0603-XzbMath1345.35043OpenAlexW2345442570WikidataQ59464075 ScholiaQ59464075MaRDI QIDQ296243

Yun-Ho Kim, Jongrak Lee

Publication date: 15 June 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0603-x

zbMATH Keywords

weak solutionsmultiple critical points\(p\)-Laplace type operatorCerami condition

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (6)

Multiplicity results for elliptic problems involving nonlocal integrodifferential operators without Ambrosetti-Rabinowitz condition ⋮ Quasilinear double phase problems with parameter dependent performance on the whole space ⋮ EXISTENCE OF WEAK SOLUTIONS TO A CLASS OF SCHRODINGER TYPE EQUATIONS INVOLVING THE FRACTIONAL p-LAPLACIAN IN R-N ⋮ Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\) ⋮ The existence of infinitely many solutions for nonlinear elliptic equations involving p-Laplace type operators in R^N ⋮ Unnamed Item

Cites Work

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• A critical point theorem via the Ekeland variational principle
• On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
• Multiple solutions for an eigenvalue problem involving \(p\)-Laplacian type operators
• Existence and multiplicity of weak solutions for elliptic Dirichlet problems with variable exponent
• A nondifferentiable extension of a theorem of Pucci and Serrin and applications
• Existence of infinitely many weak solutions for the \(p\)-Laplacian with nonlinear boundary conditions
• Superlinear problems without Ambrosetti and Rabinowitz growth condition
• The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
• On superlinear problems without the Ambrosetti and Rabinowitz condition
• On superlinear \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• A three critical points theorem revisited
• Existence of three solutions for a class of quasilinear elliptic systems involving the \((p(x),q(x))\)-Laplacian
• Best constant in Sobolev inequality
• The behavior of the best Sobolev trace constant and extremals in thin domains.
• On a three critical points theorem
• On the variational principle
• A version of Zhong's coercivity result for a general class of nonsmooth functionals
• Multiplicity results for a class of elliptic problems with nonlinear boundary condition
• Three solutions for equations involving nonhomogeneous operators of \(p\)-Laplace type in \(\mathbb R^N\)
• Existence and multiplicity of solutions for equations involving nonhomogeneous operators of \(p(x)\)-Laplace type in \(\mathbb{R}^{N}\)
• Dual variational methods in critical point theory and applications
• Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents
• Relations between the mountain pass theorem and local minima
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• A generalization of Ekerland's variational principle and application to the study of the relation between the weak P.S. condition and coercivity
• On the structure of the critical set of non-differentiable functions with a weak compactness condition

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