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Stability results for Mountain Pass and Linking type solutions of semilinear problems involving Dirichlet forms

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

Abstract.

Some stability results for Mountain Pass and Linking type solutions of semilinear problems involving a very general class of Dirichlet forms are stated. The non linear terms are supposed to have a suitable superlinear growth and the family of Dirichlet forms is required to be dominated from below and from above by a fixed diffusion type form. Some concrete examples are also given.

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Authors and Affiliations

  1. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133, Milano, Italy

    Marco Biroli

  2. Dipartimento di Matematica, Università di Roma “La Sapienza”, Piazzale A. Moro 5, 00185, Roma, Italy

    Silvia Mataloni

  3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy

    Michele Matzeu

Authors
  1. Marco Biroli
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  2. Silvia Mataloni
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  3. Michele Matzeu
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Correspondence to Marco Biroli.

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Biroli, M., Mataloni, S. & Matzeu, M. Stability results for Mountain Pass and Linking type solutions of semilinear problems involving Dirichlet forms. Nonlinear differ. equ. appl. 12, 295–321 (2005). https://doi.org/10.1007/s00030-005-0016-5

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  • DOI: https://doi.org/10.1007/s00030-005-0016-5

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