We consider solutions in the whole of the space of a partial differential equation driven by the anisotropic Laplacian. We prove a pointwise energy bound and we derive from that some rigidity results. © 2013 Springer-Verlag Berlin Heidelberg.
Gradient bounds for anisotropic partial differential equations / A. Farina, E. Valdinoci. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - 49:3-4(2014), pp. 923-936.
Gradient bounds for anisotropic partial differential equations
E. Valdinoci
2014
Abstract
We consider solutions in the whole of the space of a partial differential equation driven by the anisotropic Laplacian. We prove a pointwise energy bound and we derive from that some rigidity results. © 2013 Springer-Verlag Berlin Heidelberg.
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