On a variational problem for radial solutions to extremal elliptic equations

Arena, Orazio; Buonocore, P.

doi:10.1007/s10231-008-0071-8

In a space of dimensions m, with m greater or equal to 2, a radial variational problem related to a priori estimates for solutions to extremal elliptic equations with fixed ellipticity constant is investigated. The problem is solved in Lp spaces, with p>m, for ellipticity constant values in a proper interval and a representation of maximizing function is explicitly determined. Otherwise, this fact is no longer true.

On a variational problem for radial solutions to extremal elliptic equations / O. Arena; P. Buonocore. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - STAMPA. - 188(2009), pp. 187-206.

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Titolo:	On a variational problem for radial solutions to extremal elliptic equations
Autori di Ateneo:	ARENA, ORAZIO P. Buonocore mostra contributor esterni nascondi contributor esterni
Autori:	ARENA, ORAZIO; P. Buonocore
Data di pubblicazione:	2009
Rivista:	ANNALI DI MATEMATICA PURA ED APPLICATA
Volume:	188
Pagina iniziale:	187
Pagina finale:	206
Abstract:	In a space of dimensions m, with m greater or equal to 2, a radial variational problem related to a priori estimates for solutions to extremal elliptic equations with fixed ellipticity constant is investigated. The problem is solved in Lp spaces, with p>m, for ellipticity constant values in a proper interval and a representation of maximizing function is explicitly determined. Otherwise, this fact is no longer true.
Handle:	http://hdl.handle.net/2158/342695
Appare nelle tipologie:	1a - Articolo su rivista

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