STRICTLY POSITIVE SOLUTIONS FOR ONE-DIMENSIONAL NONLINEAR PROBLEMS INVOLVING THE -LAPLACIAN

DOI10.1017/S0004972713000725zbMath1304.34045arXiv1307.1817MaRDI QIDQ5409873

Iván Medri, Uriel Kaufmann

Publication date: 15 April 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.1817

zbMATH Keywords

positive solution\(p\)-Laplacianindefinite nonlinearityelliptic one-dimensional problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (5)

One-dimensional singular problems involving the \(p\)-Laplacian and nonlinearities indefinite in sign ⋮ Positive solutions for nonlinear problems involving the one-dimensional \(\phi\)-Laplacian ⋮ Elliptic system with some singular nonlinearity ⋮ Uniqueness and sign properties of minimizers in a quasilinear indefinite problem ⋮ On Dirichlet problems with singular nonlinearity of indefinite sign

Cites Work

• Unnamed Item
• On strictly positive solutions for some semilinear elliptic problems
• A weighted eigenvalue problem for the \(p\)-Laplacian plus a potential
• Positive solutions of the generalized Emden-Fowler equation in Hölder spaces
• Branches of positive and free boundary solutions for some singular quasilinear elliptic problems
• Periodic solution for nonlinear systems with \(p\)-Laplacian-like operators
• Maximum and comparison principles for operators involving the \(p\)-Laplacian
• Existence and uniqueness of positive solutions for some quasilinear elliptic problems

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