Nontrivial solutions of a class of Kirchhoff type problems via local linking method

DOI10.1155/2014/573616zbMath1474.35478OpenAlexW2037062688WikidataQ59039569 ScholiaQ59039569MaRDI QIDQ1724423

Anmin Mao, Lin Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/573616

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Cites Work

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• Existence and concentration result for the Kirchhoff type equations with general nonlinearities
• Periodic solutions for a class of non-autonomous Hamiltonian systems
• Nontrivial solutions of Kirchhoff-type problems via the Yang index
• Sign changing solutions of Kirchhoff type problems via invariant sets of descent flow
• Periodic solutions for a class of superquadratic Hamiltonian systems
• Nontrivial solutions of a class of nonlocal problems via local linking theory
• Positive solutions for a nonlinear nonlocal elliptic transmission problem
• Applications of local linking to critical point theory
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• Sign-changing and multiple solutions of Kirchhoff type problems without the P.S. condition
• Some remarks on non local elliptic and parabolic problems

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