Multiple critical points for symmetric functionals without upper growth condition on the principal part

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Abstract

This paper is concerned with variational methods applied to functionals of the calculus of variations in a multi-dimensional case. We prove the existence of multiple critical points for a symmetric functional whose principal part is not subjected to any upper growth condition. For this purpose, nonsmooth variational methods are applied.
Lingua originaleEnglish
pagine (da-a)1-21
Numero di pagine21
RivistaSymmetry
Volume13
DOI
Stato di pubblicazionePubblicato - 2021

Keywords

  • Calculus of variations
  • Nonsmooth variational methods
  • Quasilinear elliptic equations

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