Radial solutions for the \(p\)-Laplacian equation

DOI10.1016/j.na.2008.02.119zbMath1165.34319OpenAlexW1974423289MaRDI QIDQ1004615

Sonia Ben Othman, Imed Bachar, Habib Maagli

Publication date: 11 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.119

zbMATH Keywords

positive solutionsSchauder's fixed point theorem\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (4)

Existence and global asymptotic behavior of singular positive solutions for radial Laplacian ⋮ Asymptotic behavior of ground state radial solutions for \(p\)-Laplacian problems ⋮ Asymptotic behavior of ground state radial solutions for problems involving the \(\Phi \)-Laplacian ⋮ Existence and uniqueness for thep(x)-Laplacian-Dirichlet problems

Cites Work

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• Existence of blowup solutions for nonlinear problems with a gradient term
• Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with sign changing nonlinearities
• Existence and uniqueness for a class of quasilinear elliptic boundary value problems.
• A comparison result for perturbed radial \(p\)-Laplacians.
• Twin positive solutions for the one-dimensional \(p\)-Laplacian boundary value problems.
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• Eigenvalues and the one-dimensional \(p\)-Laplacian
• Existence of positive solutions for some polyharmonic nonlinear equations in \(\mathbb R^{n}\)
• Asymptotic Behavior of Solutions to Δu + Ku σ = 0 on R n for n ≥3
• The existence of positive solutions for the one-dimensional $p$-Laplacian
• Positive solutions of some quasilinear singular second order equations

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