Existence and multiplicity of solutions of second-order discrete Neumann problem with singular \(\phi\)-Laplacian operator

DOI10.1186/1687-1847-2014-227zbMath1417.35005OpenAlexW2161138863WikidataQ59323423 ScholiaQ59323423MaRDI QIDQ307242

Yanqiong Lu, Ru Yun Ma

Publication date: 1 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-227

zbMATH Keywords

existenceBrouwer degreeupper and lower solutionsNeumann problemsingular \(\phi\)-Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (1)

Existence and multiplicity of solutions for discrete Neumann-Steklov problems with singular \(\phi\)-Laplacian

Cites Work

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• Non-resonant boundary value problems with singular \(\phi\)-Laplacian operators
• Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian
• Solvability of discrete Neumann boundary value problems
• Multiple periodic solutions of ordinary differential equations with bounded nonlinearities and \(\varphi\)-Laplacian
• Radial solutions for Neumann problems with \(\phi\)-Laplacians and pendulum-like nonlinearities
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Multiple positive solutions to second-order Neumann boundary value problems.
• Optimal existence conditions for \(\varphi\)-Laplacian equations with upper and lower solutions in the reversed order
• Fixed sign solutions of second-order difference equations with Neumann boundary conditions
• Existence and multiplicity results for some nonlinear problems with singular \(\phi\)-Laplacian
• Positive solutions of Neumann problems with singularities
• PERIODIC SOLUTIONS FOR SINGULAR PERTURBATIONS OF THE SINGULAR ϕ-LAPLACIAN OPERATOR
• Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ
• Stationary surfaces in Lorentz–Minkowski space
• Radial solutions for Neumann problems involving mean curvature operators in Euclidean and Minkowski spaces
• Some differences between difference equations and differential equations

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