RADIAL SOLUTIONS OF SCALING INVARIANT NONLINEAR ELLIPTIC EQUATIONS WITH MIXED REACTION TERMS

Bidaut-Véron M.-F.; Garcia-Huidobro M.; Véron L.

Abstract

We study global properties of positive radial solutions of -Delta u= u(p)+M vertical bar del u vertical bar(2p/p+1) in R-N where p > 1 and M is a real number. We prove the existence or the non-existence of ground states and of solutions with singularity at 0 according to the values of M and p.

Más información

Título según WOS: RADIAL SOLUTIONS OF SCALING INVARIANT NONLINEAR ELLIPTIC EQUATIONS WITH MIXED REACTION TERMS
Título según SCOPUS: Radial solutions of scaling invariant nonlinear elliptic equations with mixed reaction terms
Título de la Revista: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
Volumen: 40
Número: 2
Editorial: AMER INST MATHEMATICAL SCIENCES-AIMS
Fecha de publicación: 2020
Página de inicio: 933
Página final: 982
Idioma: English
DOI:

10.3934/dcds.2020067

Notas: ISI, SCOPUS