EXISTENCE OF SIGN-CHANGING SOLUTIONS FOR THE NONLINEAR p-LAPLACIAN BOUNDARY VALUE PROBLEM

DOI10.1142/S0219530513500048zbMath1275.34030arXiv1105.2187OpenAlexW2131906207MaRDI QIDQ4916147

Yan-Hsiou Cheng, Wei-Cheng Lian, Wei-Chuan Wang

Publication date: 19 April 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2187

zbMATH Keywords

existenceboundary value problemsign-changing solutionsnonlinear p-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24)

Related Items (1)

On the existence of sign-changing radial solutions to nonlinear \(p\)-Laplacian equations in \(\mathbb R^n\)

Cites Work

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• Sharp conditions for the existence of sign-changing solutions to equations involving the one-dimensional \(p\)-Laplacian
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• Sturm-Liouville type problems for the \(p\)-Laplacian under asymptotic non-resonance conditions
• Sturm-Liouville theory for the radial \(\Delta_p\)-operator
• Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
• Existence results of sign-changing solutions for singular one-dimensional \(p\)-Laplacian problems
• Some global results for nonlinear eigenvalue problems
• On the existence of positive solutions of nonlinear second order differential equations

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