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Existence of Solutions for a Class of Nonvariational Quasilinear Periodic Problems

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Abstract

We consider a nonlinear nonvariational periodic problem with a nonsmooth potential. Using the spectrum of the asymptotic (as |x| → ∞) differential operator and degree theoretic methods based on the degree map for multivalued perturbations of (S) +  operators, we establish the existence of a nontrivial smooth solution.

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Authors and Affiliations

  1. Department of Mathematics, West University of Timişoara, Blvd. V. Pârvan no. 4, 300223, Timişoara, Romania

    Petru Jebelean

  2. Department of Mathematics, National Technical University, Zografou Campus, Athens, 15780, Greece

    Nikolaos S. Papageorgiou

Authors
  1. Petru Jebelean
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  2. Nikolaos S. Papageorgiou
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Correspondence to Nikolaos S. Papageorgiou.

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Jebelean, P., Papageorgiou, N.S. Existence of Solutions for a Class of Nonvariational Quasilinear Periodic Problems. Set-Valued Anal 16, 923–941 (2008). https://doi.org/10.1007/s11228-008-0091-y

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  • DOI: https://doi.org/10.1007/s11228-008-0091-y

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