On semilinear elliptic equations with borderline Hardy potentials

Veronica Felli; Alberto Ferrero

doi:10.1007/s11854-014-0022-9

On semilinear elliptic equations with borderline Hardy potentials

Veronica Felli, Alberto Ferrero

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

In this paper, we study the asymptotic behavior of solutions of 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.

Lingua originale	Inglese
pagine (da-a)	303-340
Numero di pagine	38
Rivista	Journal d'Analyse Mathematique
Volume	123
Numero di pubblicazione	1
DOI	https://doi.org/10.1007/s11854-014-0022-9
Stato di pubblicazione	Pubblicato - lug 2014

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10.1007/s11854-014-0022-9

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On semilinear elliptic equations with borderline Hardy potentials

Abstract

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