Article SCOPUS
C. R. Acad. Sci. Paris Sér. I Math.  (2000)

Positive solutions of elliptic equations in ?N with a super-subcritical nonlinearity Solutions positives d'éuations elliptiques dans ?N avec non-linéarité super-sous-critique

Bamon, R; Flores, I; Del Pino M.

Abstract

We consider the problem: { ?u + up + uq = 0 in ?N, 0 < u(cursive Greek chi) ? 0 as \cursive Greek chi\ ? +?, where 1 < p < N+2/N-1 < q. We prove that if q is fixed and we let p approach N+2/N-1 from below, then this problem has a large number of radial solutions. A similar fact takes place if one fixes p > N/N-2 and then lets q approach N+2/N-2. If q is fixed and p gets close enough to N/N-2, then no solution exists. © 2000 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS.

Más información

Título según SCOPUS: Positive solutions of elliptic equations in ?N with a super-subcritical nonlinearity [Solutions positives d'éuations elliptiques dans ?N avec non-linéarité super-sous-critique]
Título de la Revista: C. R. Acad. Sci. Paris Sér. I Math.
Volumen: 330
Número: 3
Editorial: Elsevier
Fecha de publicación: 2000
Página de inicio: 187
Página final: 191
Idioma: French; English
URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-0034134961&partnerID=q2rCbXpz
Notas: SCOPUS