Existence and multiplicity results for a class of generalized one-dimensional \(p\)-Laplacian problem

DOI10.1016/j.na.2009.07.015zbMath1191.34024OpenAlexW2091596148MaRDI QIDQ1049035

Youwei Zhang

Publication date: 8 January 2010

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.2009.07.015

zbMATH Keywords

conefixed pointpositive solution\(p\)-Laplacian operatorgeneralized Sturm-Liouville conditions

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) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (6)

Multiple positive solutions of a \((p_{1},p_{2})\)-Laplacian system with nonlinear BCs ⋮ Positive solutions of nonlinear multi-point boundary value problems ⋮ On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Some properties of solutions to multiterm fractional boundary value problems with \(p\)-Laplacian operator ⋮ Exact multiplicity of solutions for a class of singular generalized one-dimensional \(p\)-Laplacian problem ⋮ Multiple positive solutions for a second-order boundary value problem with integral boundary conditions

Cites Work

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• Multi-point boundary value problems of second-order differential equations. I
• Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian
• Symmetric solutions of a multi-point boundary value problem
• Positive solutions for second-order three-point boundary value problems

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