Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension

Marco Squassina, Zhisu Liu, Jianjun Zhang

Risultato della ricerca: Contributo in rivistaArticolo in rivista

30 Citazioni (Scopus)

Abstract

We study the existence of ground states to a nonlinear fractional Kirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we prove the existence of ground states. In particular, the nonlinearity does not satisfy the Ambrosetti–Rabinowitz type condition or monotonicity assumptions
Lingua originaleEnglish
pagine (da-a)1-32
Numero di pagine32
RivistaNODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume24
Stato di pubblicazionePubblicato - 2017

Keywords

  • Kirchhoff equations

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