Nonexistence and existence of positive solutions for the Kirchhoff type equation

DOI10.1016/J.AML.2019.05.012zbMath1427.35064OpenAlexW2945526869WikidataQ127939823 ScholiaQ127939823MaRDI QIDQ2274842

Ziliang Yang, Hongrui Cai, Ming-Zheng Sun

Publication date: 1 October 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2019.05.012

zbMATH Keywords

positive solutionsexistence and nonexistence of solutionsKirchhoff-type equations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09)

Related Items (3)

Approximate solution of the backward problem for Kirchhoff's model of parabolic type with discrete random noise ⋮ Critical groups and multiple solutions for Kirchhoff type equations with critical exponents ⋮ Bifurcation diagrams of one-dimensional Kirchhoff-type equations

Cites Work

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• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Nontrivial solutions of a class of nonlocal problems via local linking theory
• Multiplicity results for asymptotically linear elliptic problems at resonance.
• Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains
• Multiplicity results for the Kirchhoff type equation via critical groups
• Dual variational methods in critical point theory and applications
• Positive solutions to Kirchhoff type equations with nonlinearity having prescribed asymptotic behavior
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• MULTIPLE SOLUTIONS TO p-LAPLACIAN PROBLEMS WITH ASYMPTOTIC NONLINEARITY AS up−1 AT INFINITY
• Positive solutions of Kirchhoff-type non-local elliptic equation: a bifurcation approach
• Asymptotically linear Dirichlet problem for the \(p\)-Laplacian

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