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Neumann Boundary Value Problems with not Coercive Potential

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Abstract

Existence results of positive solutions for an ordinary Neumann boundary value problem are established. No asymptotic condition on the nonlinear term either at zero or at infinity is requested. The approach is based on variational methods.

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Authors and Affiliations

  1. Department of Science for Engineering and Architecture (Mathematics Section), Engineering Faculty, University of Messina, 98166, Messina, Italy

    Gabriele Bonanno

  2. Department of Mathematics, University of Messina, 98166, Messina, Italy

    Pasquale F. Pizzimenti

Authors
  1. Gabriele Bonanno
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  2. Pasquale F. Pizzimenti
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Correspondence to Gabriele Bonanno.

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Bonanno, G., Pizzimenti, P.F. Neumann Boundary Value Problems with not Coercive Potential. Mediterr. J. Math. 9, 601–609 (2012). https://doi.org/10.1007/s00009-011-0136-6

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  • DOI: https://doi.org/10.1007/s00009-011-0136-6

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