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.
Titolo: | On a variational problem for radial solutions to extremal elliptic equations |
Autori di Ateneo: | |
Autori: | ARENA, ORAZIO; P. Buonocore |
Data di pubblicazione: | 2009 |
Rivista: | |
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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