: We study the local behavior of bounded local weak solutions to a class of anisotropic singular equations where in any direction, the operator behaves as a singular p-lapacian, with the p diferrent for any direction. Throughout a parabolic approach to expansion of positivity we obtain the interior Hölder continuity and some integral and pointwise Harnack inequalities.
On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations / Simone Ciani*, Igor I. Skrypnik, Vincenzo Vespri. - In: ADVANCES IN NONLINEAR ANALYSIS. - ISSN 2191-9496. - STAMPA. - 12:(2023), pp. 237-265. [10.1515/anona-2022-0275]
On the Local Behavior of Local Weak Solutions to some Singular Anisotropic Elliptic Equations
Simone Ciani
;Vincenzo Vespri
2023
Abstract
: We study the local behavior of bounded local weak solutions to a class of anisotropic singular equations where in any direction, the operator behaves as a singular p-lapacian, with the p diferrent for any direction. Throughout a parabolic approach to expansion of positivity we obtain the interior Hölder continuity and some integral and pointwise Harnack inequalities.File | Dimensione | Formato | |
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