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Periodic Problems with the Scalar p-Laplacian Resonant at any Eigenvalue via Critical Point Methods

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Publication:2866678
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DOI10.1515/ans-2013-0309zbMath1297.34027OpenAlexW2512597239MaRDI QIDQ2866678

Sophia Th. Kyritsi, Nikolaos S. Papageorgiou, Donal O'Regan

Publication date: 13 December 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0309

zbMATH Keywords

critical groups\(p\)-Laplacianresonancehomotopy equivalencelinking sets


Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)




Cites Work

  • Unnamed Item
  • Nontrivial critical groups in \(p\)-Laplacian problems via the Yang index
  • Periodic solutions for second order differential inclusions with the scalar \(p\)-Laplacian
  • Existence and multiplicity of solutions with prescribed period for a second order quasilinear O.D.E.
  • Critical point theory for asymptotically quadratic functionals and applications to problems with resonance
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