Weak condition for a class of \(p\)-Laplacian Hamiltonian systems

DOI10.1134/S0040577921070011zbMath1473.35253OpenAlexW3192913242WikidataQ114075197 ScholiaQ114075197MaRDI QIDQ2047678

Abderrazek Benhassine

Publication date: 23 August 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921070011

zbMATH Keywords

variational methodsexistence of infinitely many solutions\(p\)-Laplacian Hamiltonian systems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations (35J62)

Cites Work

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• Existence solutions for second order Hamiltonian systems
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• Fractional Hamiltonian systems with locally defined potentials
• Minimax theorems
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic solutions for a class of second order Hamiltonian systems
• Infinitely many periodic solutions of non-autonomous second-order Hamiltonian systems
• One dimensional weighted Hardy's inequalities and application

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