Critical group estimates for nonregular critical points of functionals associated with quasilinear elliptic equations

Marco Degiovanni, Silvia Cingolani, Giuseppina Vannella

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

1 Citazioni (Scopus)

Abstract

We consider a class of quasilinear elliptic equations whose principal part includes the p-area and the p-Laplace operators, when p lies in a suitable left neighborhood of 2. For the critical points of the associated functional, we provide estimates of the corresponding critical groups, under assumptions that do not guarantee any further regularity of the critical point
Lingua originaleEnglish
pagine (da-a)75-87
Numero di pagine13
RivistaJournal of Elliptic and Parabolic Equations
Volume1
DOI
Stato di pubblicazionePubblicato - 2015

Keywords

  • Morse index
  • critical groups
  • functionals with lack of smoothness
  • p-Laplace operator
  • p-area operator

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