Infinitely many positive solutions of a singular Dirichlet problem involving the \(p\)-Laplacian

DOI10.1016/j.cnsns.2009.02.031zbMath1221.34066OpenAlexW2092393563MaRDI QIDQ718012

Libo Wang, Weigao Ge

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.02.031

zbMATH Keywords

lower and upper solutionspositive solutionscritical point theory\(p\)-Laplaciansingular Dirichlet problem

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (2)

Existence of positive solutions of a class of multi-point boundary value problems for \(p\)-Laplacian fractional differential equations with singular source terms ⋮ A note on traveling wave solutions of a diffusive predator-prey model

Cites Work

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• Positive solutions of elliptic problems with locally oscillating nonlinearities
• Two-point boundary value problems. Lower and upper solutions
• Existence results for perturbations of the p-Laplacian
• Infinitely many arbitrarily small positive solutions for the Dirichlet problem involving the p-Laplacian
• SOLUTIONS OF p-SUBLINEAR p-LAPLACIAN EQUATION VIA MORSE THEORY
• Weak solutions of quasilinear problems with nonlinear boundary condition

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