Data di Pubblicazione:
2013
Citazione:
Pointwise estimates and rigidity results for entire solutions of nonlinear elliptic PDE's / A. Farina, E. Valdinoci. - In: ESAIM. COCV. - ISSN 1292-8119. - 19:2(2013), pp. 616-627. [10.1051/cocv/2012024]
Abstract:
We prove pointwise gradient bounds for entire solutions of pde's of the form u(x) = ψ(x, u(x), u(x)), where â"' is an elliptic operator (possibly singular or degenerate). Thus, we obtain some Liouville type rigidity results. Some classical results of J. Serrin are also recovered as particular cases of our approach.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Gradient bounds; P-function estimates; Rigidity results
Elenco autori:
A. Farina, E. Valdinoci
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