We prove various representation formulae of solutions of second order dierential inequalities on RN . As an outcome we obtain positivity results of the solutions of ≠Lu Ø 0, where L is a general second order elliptic operator in divergence form. Results of this type are very useful for studying related Liouville theorems of second order semilinear inequalities.

Representation formulae of solutions of second order elliptic inequalities

Enzo Mitidieri
2019-01-01

Abstract

We prove various representation formulae of solutions of second order dierential inequalities on RN . As an outcome we obtain positivity results of the solutions of ≠Lu Ø 0, where L is a general second order elliptic operator in divergence form. Results of this type are very useful for studying related Liouville theorems of second order semilinear inequalities.
2019
Pubblicato
https://www.sciencedirect.com/science/article/pii/S0362546X18302098
File in questo prodotto:
File Dimensione Formato  
Representation.pdf

Accesso chiuso

Tipologia: Documento in Versione Editoriale
Licenza: Copyright Editore
Dimensione 1.17 MB
Formato Adobe PDF
1.17 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
11368_2929166_Post_Print.pdf

Open Access dal 16/09/2021

Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Creative commons
Dimensione 1.98 MB
Formato Adobe PDF
1.98 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

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: https://hdl.handle.net/11368/2929166
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact