Article ID Journal Published Year Pages File Type
4665198 Advances in Mathematics 2016 39 Pages PDF
Abstract

We consider possibly degenerate and singular elliptic equations in a possibly anisotropic medium.We obtain monotonicity results for the energy density, rigidity results for the solutions and classification results for the singularity/degeneracy/anisotropy allowed.As far as we know, these results are new even in the case of non-singular and non-degenerate anisotropic equations.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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