Homoclinic solutions for \(n\)-dimensional prescribed mean curvature \(p\)-Laplacian equations

DOI10.1186/S13661-015-0362-0zbMathNoneOpenAlexW1924470520WikidataQ59435042 ScholiaQ59435042MaRDI QIDQ283413

Shiping Lu, Fan Chao Kong

Publication date: 13 May 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-015-0362-0

zbMATH Keywords

\(p\)-Laplacianhomoclinic solution\(n\)-dimensionalMawhin's continuation theoremprescribed Mean curvature

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (2)

Periodic solutions for prescribed mean curvature \(p\)-Laplacian equations with a singularity of repulsive type and a time-varying delay ⋮ Homoclinic solutions for Rayleigh type \(p\)-Laplacian equations with a deviating argument

Cites Work

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• Periodic solutions for prescribed mean curvature Liénard equation with a deviating argument
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• Nontrivial homoclinic solutions for prescribed mean curvature Rayleigh equations
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• Exact number of solutions of a prescribed mean curvature equation
• Homoclinic solutions for ordinary \(p\)-Laplacian systems with a coercive potential
• Coincidence degree, and nonlinear differential equations
• Periodic solutions for a kind of second order differential equation with multiple deviating arguments.
• Homoclinic solutions for a kind of prescribed mean curvature Duffing-type equation
• Periodic solutions for prescribed mean curvature Rayleigh equation with a deviating argument
• Classical and non-classical solutions of a prescribed curvature equation
• Periodic solutions for nonlinear systems with mean curvature-like operators
• One-dimensional prescribed mean curvature equation with exponential nonlinearity
• Homoclinic solutions for a class of the second order Hamiltonian systems
• MULTIPLE POSITIVE SOLUTIONS OF A ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE PROBLEM
• Homoclinic orbits for a class of Hamiltonian systems

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