Maximum Principles on unbounded domains play a crucial rôle in several problems related to linear second-order PDEs of elliptic and parabolic type. In this paper we consider a class of sub-elliptic operators L in RN and we establish some criteria for an unbounded open set to be a Maximum Principle set for L. We extend some classical results related to the Laplacian (by Deny, Hayman and Kennedy) and to the sub-Laplacians on stratified Lie groups (by Bonfiglioli and the second-named author).
Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators
Biagi S.;
2020-01-01
Abstract
Maximum Principles on unbounded domains play a crucial rôle in several problems related to linear second-order PDEs of elliptic and parabolic type. In this paper we consider a class of sub-elliptic operators L in RN and we establish some criteria for an unbounded open set to be a Maximum Principle set for L. We extend some classical results related to the Laplacian (by Deny, Hayman and Kennedy) and to the sub-Laplacians on stratified Lie groups (by Bonfiglioli and the second-named author).File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
S. Biagi, E. Lanconelli - Large sets at infinity and Maximum Principle on unbounded domains for a class of sub-elliptic operators.pdf
Accesso riservato
:
Publisher’s version
Dimensione
489.29 kB
Formato
Adobe PDF
|
489.29 kB | Adobe PDF | Visualizza/Apri |
11311-1146288_Biagi.pdf
accesso aperto
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
300.55 kB
Formato
Adobe PDF
|
300.55 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.