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Four nontrivial solutions for subcritical exponential equations

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Abstract

We show that a semilinear Dirichlet problem in bounded domains of \({\mathbb{R}}^2\) in presence of subcritical exponential nonlinearities has four nontrivial solutions near resonance.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università di Perugia, Via Vanvitelli 1, 06123, Perugia, Italy

    Dimitri Mugnai

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  1. Dimitri Mugnai
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Correspondence to Dimitri Mugnai.

Additional information

Research supported by the Italian National Project Metodi Variazionali ed Equazioni Differenziali Non Lineari.

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Mugnai, D. Four nontrivial solutions for subcritical exponential equations. Calc. Var. 32, 481–497 (2008). https://doi.org/10.1007/s00526-007-0148-z

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  • DOI: https://doi.org/10.1007/s00526-007-0148-z

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