In this paper we study the asymptotic behavior of solutions to an elliptic equation near the singularity of an inverse square potential with a coefficient related to the best constant for the Hardy inequality. Due to the presence of a borderline Hardy potential, a proper variational setting has to be introduced in order to provide a weak formulation of the equation. An Almgren-type monotonicity formula is used to determine the exact asymptotic behavior of solutions.
Felli, V., Ferrero, A. (2014). On semilinear elliptic equations with borderline Hardy potentials. JOURNAL D'ANALYSE MATHEMATIQUE, 123(1), 303-340 [10.1007/s11854-014-0022-9].
On semilinear elliptic equations with borderline Hardy potentials
FELLI, VERONICA;
2014
Abstract
In this paper we study the asymptotic behavior of solutions to an elliptic equation near the singularity of an inverse square potential with a coefficient related to the best constant for the Hardy inequality. Due to the presence of a borderline Hardy potential, a proper variational setting has to be introduced in order to provide a weak formulation of the equation. An Almgren-type monotonicity formula is used to determine the exact asymptotic behavior of solutions.
| File | Dimensione | Formato | |
|---|---|---|---|
|
Felli-2014-J Anal Math-AAM.pdf
accesso aperto
Descrizione: Article
Tipologia di allegato:
Author’s Accepted Manuscript, AAM (Post-print)
Licenza:
Altro
Dimensione
396.44 kB
Formato
Adobe PDF
|
396.44 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
