Nonresonance for a one-dimensional \(p\)-Laplacian with strong singularity

DOI10.1016/J.AML.2011.03.019zbMath1220.34036OpenAlexW2004654627MaRDI QIDQ540304

Chan-Gyun Kim, James Robert jun. Ward

Publication date: 1 June 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.03.019

zbMATH Keywords

nonresonance\(p\)-Laplaciansingular boundary value problem

Mathematics Subject Classification ID

Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Cites Work

• Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)
• Strongly nonlinear second-order ODE's with unilateral conditions
• Upper and lower solutions for a generalized Emden-Fowler equation
• Nonresonance for one-dimensional \(p\)-Laplacian with regular restoring.
• Nonuniform nonresonance of semilinear differential equations
• Resonance and nonresonance in terms of average values
• Non-resonance for Sturm-Liouville problems with jumping nonlinearities in terms of average values
• One-dimensional \(p\)-Laplacian with a strong singular indefinite weight. I: Eigenvalue
• Nonuniform nonresonant singular Dirichlet boundary value problems for the one-dimensional \(p\)-Laplacian with sign changing nonlinearity
• Nonresonance conditions on the potential for a semilinear Dirichlet problem
• Nonresonance to the right of the first eigenvalue for the one-dimensional p-Laplacian
• Some General Existence Principles and Results for $(\phi (y')) = qf(t,y,y'),0 < t < 1$
• Nonresonant singular two-point boundary value problems
• A nonresonance result for strongly nonlinear second order ODE's

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