Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
Articolo
Data di Pubblicazione:
2014
Citazione:
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations / M. Cozzi, A. Farina, E. Valdinoci. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 331:1(2014), pp. 189-214. [10.1007/s00220-014-2107-9]
Abstract:
We consider the Wulff-type energy functional, (Formula Presented.) where B is positive, monotone and convex, and H is positive homogeneous of degree 1. The critical points of this functional satisfy a possibly singular or degenerate quasilinear equation in an anisotropic medium. We prove that the gradient of the solution is bounded at any point by the potential F(u) and we deduce several rigidity and symmetry properties.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
nonnegative mean-curvature; elliptic-equations; unbounded-domains; crystal-growth; wulff shape; regularity; theorem
Elenco autori:
M. Cozzi, A. Farina, E. Valdinoci
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