We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of p-Laplacian type, with p in the sub-critical range (1,2N/(N+1)]⁠. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic p-capacity.

A Boundary Estimate for Singular Sub-Critical Parabolic Equations

Gianazza, Ugo;
2020-01-01

Abstract

We prove an estimate on the modulus of continuity at a boundary point of a cylindrical domain for local weak solutions to singular parabolic equations of p-Laplacian type, with p in the sub-critical range (1,2N/(N+1)]⁠. The estimate is given in terms of a Wiener-type integral, defined by a proper elliptic p-capacity.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1365934
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