Data di Pubblicazione:
2013
Citazione:
Geometric inequalities and symmetry results for elliptic systems / S. Dipierro. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 33:8(2013), pp. 3473-3496.
Abstract:
We obtain some Poincaré type formulas, that we use, together with the level set analysis, to detect the one-dimensional symmetry of monotone and stable solutions of possibly degenerate elliptic systems of the form div (a (jruj)ru) = F1(u; v); div (b (jrvj)rv) = F2(u; v); where F 2 C1;1 loc (R2). Our setting is very general, and it comprises, as a particular case, a conjec- ture of De Giorgi for phase separations in R2.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
elliptic systems; monotone solutions; phase separa- tion; Poincaré-type inequality; stable solutions; analysis; discrete mathematics and combinatorics; applied mathematics
Elenco autori:
S. Dipierro
Link alla scheda completa: