Existence of the second positive radial solution for a \(p\)-Laplacian problem

DOI10.1016/j.cam.2011.01.020zbMath1218.35112OpenAlexW2037723207MaRDI QIDQ544202

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 June 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.01.020

zbMATH Keywords

upper and lower solutionsexterior domainfixed point index\(p\)-Laplacianradial solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Fixed-point theorems (47H10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20) Methods of ordinary differential equations applied to PDEs (35A24) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (3)

Multiplicity of positive radial solutions for the weighted \(p\)-Laplacian in \(\mathbb R^n\setminus\{0\}\) ⋮ Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity ⋮ On the existence of nonnegative radial solutions for Dirichlet exterior problems on the Heisenberg group

Cites Work

• A Picone-type identity and Sturmian comparison and oscillation theorems for a class of half-linear partial differential equations of second order
• Nonuniform nonresonance of semilinear differential equations
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• On the existence of multiple positive solutions for a semilinear problem in exterior domains
• Non-homogeneous elliptic equations in exterior domains
• Unnamed Item

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