Locating the peaks of semilinear elliptic systems

Marco Squassina, Alessio Pomponio

Risultato della ricerca: Contributo in rivistaArticolo in rivistapeer review

Abstract

We consider a system of weakly coupled singularly perturbed semilinear elliptic equations. First, we obtain a Lipschitz regularity result for the associated ground energy function Σ as well as representation formulas for the left and the right derivatives. Then, we show that the concentration points of the solutions locate close to the critical points of Σ in the sense of subdifferential calculus
Lingua originaleEnglish
pagine (da-a)441-460
Numero di pagine20
RivistaAdvanced Nonlinear Studies
Volume5
Stato di pubblicazionePubblicato - 2005

Keywords

  • spike location

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