This paper deals with a class of nonlinear elliptic equations involving a critical power-nonlinearity as well as a potential featuring multiple inverse square singularities. When the poles form a symmetric structure, it is natural we wonder how the symmetry affects such mutual interaction. The present paper means to study this aspect from the point of view of the existence of solutions inheriting the same symmetry properties as the set of singularities.

Felli, V., & Terracini, S. (2006). Nonlinear Schrödinger equations with symmetric multi-polar potentials. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 27(1), 25-58 [10.1007/s00526-006-0020-6].

Nonlinear Schrödinger equations with symmetric multi-polar potentials

FELLI, VERONICA;TERRACINI, SUSANNA
2006

Abstract

This paper deals with a class of nonlinear elliptic equations involving a critical power-nonlinearity as well as a potential featuring multiple inverse square singularities. When the poles form a symmetric structure, it is natural we wonder how the symmetry affects such mutual interaction. The present paper means to study this aspect from the point of view of the existence of solutions inheriting the same symmetry properties as the set of singularities.
No
Articolo in rivista - Articolo scientifico
Scientifica
multi-singular potentials; Hardy inequality; critical Sobolev exponent; concentration compactness principle
English
25
58
34
Felli, V., & Terracini, S. (2006). Nonlinear Schrödinger equations with symmetric multi-polar potentials. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 27(1), 25-58 [10.1007/s00526-006-0020-6].
Felli, V; Terracini, S
File in questo prodotto:
File Dimensione Formato  
Nonlinear_Schrodinger_equations.pdf

Solo gestori archivio

Tipologia di allegato: Author’s Accepted Manuscript, AAM (Post-print)
Dimensione 324.82 kB
Formato Adobe PDF
324.82 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10281/2373
Citazioni
  • Scopus 19
  • ???jsp.display-item.citation.isi??? 19
Social impact