The aim of this paper is to study necessary conditions for existence of weak solutions of the inequality L (x, y, D-x, D-y,) u greater than or equal to \u\(q)/\x\(01)\y\(02), xis an element of R^d, y is an element of R^k where L is a quasi-homogeneous differential operator, q>1, theta(1) .theta(2) is an element of R and k, d greater than or equal to 1. As special cases, our results can be applied when L is Tricomi or Grushin-type operators. (C) 2003 Elsevier Science (USA). All rights reserved.

Nonlinear Liouville theorems for Grushin and Tricomi operators

D'AMBROSIO, Lorenzo;LUCENTE, SANDRA
2003

Abstract

The aim of this paper is to study necessary conditions for existence of weak solutions of the inequality L (x, y, D-x, D-y,) u greater than or equal to \u\(q)/\x\(01)\y\(02), xis an element of R^d, y is an element of R^k where L is a quasi-homogeneous differential operator, q>1, theta(1) .theta(2) is an element of R and k, d greater than or equal to 1. As special cases, our results can be applied when L is Tricomi or Grushin-type operators. (C) 2003 Elsevier Science (USA). All rights reserved.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11586/123022
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 74
  • ???jsp.display-item.citation.isi??? 70
social impact