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Continuous dependence on the data for nonlinear elliptic equations with a lower order term

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Abstract

We consider a class of Dirichlet boundary value problems for nonlinear elliptic equations with a first order term and we prove continuous dependence on the data for solutions to problems in such a class. We deduce uniqueness results which in a case improve known results.

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Authors and Affiliations

  1. Dipartimento di Ingegneria, Università degli Studi di Napoli Parthenope, Centro Direzionale, Isola C4, 80143, Naples, Italy

    M. F. Betta

  2. Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università degli Studi di Napoli Federico II, Complesso Monte S. Angelo, Via Cintia, 80126, Naples, Italy

    A. Mercaldo & R. Volpicelli

Authors
  1. M. F. Betta
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  2. A. Mercaldo
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  3. R. Volpicelli
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Correspondence to R. Volpicelli.

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Communicated by Salvatore Rionero.

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Betta, M.F., Mercaldo, A. & Volpicelli, R. Continuous dependence on the data for nonlinear elliptic equations with a lower order term. Ricerche mat. 63 (Suppl 1), 41–56 (2014). https://doi.org/10.1007/s11587-014-0198-4

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  • DOI: https://doi.org/10.1007/s11587-014-0198-4

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