Spike solutions for a class of singularly perturbed quasilinear elliptic equations

Risultato della ricerca: Contributo in rivistaArticolo in rivista

10 Citazioni (Scopus)

Abstract

By means of a penalization scheme due to del Pino and Felmer, we prove the existence of single-peaked solutions for a class of singularly perturbed quasilinear elliptic equations associated with functionals which lack of smoothness. We do not require neither uniqueness assumptions on the limiting autonomous equation nor monotonicity conditions on the nonlinearity. Compared with the semilinear case some diculties arise and the study of concentration of the solutions needs a somewhat involved analysis in which the Pucci–Serrin variational identity plays an important role
Lingua originaleEnglish
pagine (da-a)1307-1336
Numero di pagine30
RivistaNONLINEAR ANALYSIS
Volume54
Stato di pubblicazionePubblicato - 2003

Keywords

  • spike solutions

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