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Algebraic Systems With Lipschitz Perturbations

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Abstract

By using variational methods, the existence of infinitely many solutions for a nonlinear algebraic system with a parameter is established in presence of a perturbed Lipschitz term. Our goal was achieved requiring an appropriate behavior of the nonlinear term f, either at zero or at infinity, without symmetry conditions.

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Authors and Affiliations

  1. Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melis-sari — Feo di Vito, 89124, Reggio Calabria, Italy

    Giovanni Molica Bisci

  2. Faculty of Education, and Faculty of Mathematics and Physics, University of Ljubljana, POB 2964, Ljubljana, Slovenia

    Dušan Repovš

Authors
  1. Giovanni Molica Bisci
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  2. Dušan Repovš
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Corresponding author

Correspondence to Giovanni Molica Bisci.

Additional information

The manuscript was realized within the auspices of the INdAM — GNAMPA Project 2014 titled: Proprietà geometriche ed analitiche per problemi non-locali and the SRA grants P1-0292-0101 and J1-5435-0101.

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Bisci, G.M., Repovš, D. Algebraic Systems With Lipschitz Perturbations. J Elliptic Parabol Equ 1, 189–199 (2015). https://doi.org/10.1007/BF03377375

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  • DOI: https://doi.org/10.1007/BF03377375

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