Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems
Articolo
Data di Pubblicazione:
2010
Citazione:
Flattening results for elliptic PDEs in unbounded domains with applications to overdetermined problems / A. Farina, E. Valdinoci. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 195:3(2010 Mar), pp. 1025-1058. [10.1007/s00205-009-0227-8]
Abstract:
Semilinear elliptic PDEs are dealt with, either in the half-space or in overdetermined settings. We obtain several new results and also give new proofs of celebrated theorems by exploiting some geometric analysis of level sets, a geometric inequality and a pointwise gradient estimate.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
symmetry problem; potential theory; pompeiu problem; equations; theorem
Elenco autori:
A. Farina, E. Valdinoci
Link alla scheda completa: