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Article Dans Une Revue Advances in Mathematics Année : 2016

Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs

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Résumé

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. (C) 2016 Elsevier Inc. All rights reserved.

Dates et versions

hal-03621420 , version 1 (28-03-2022)

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Matteo Cozzi, Alberto Farina, Enrico Valdinoci. Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs. Advances in Mathematics, 2016, 293, pp.343-381. ⟨10.1016/j.aim.2016.02.014⟩. ⟨hal-03621420⟩
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