We characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barriers, both when p>2 and p\in(1,2). Due to the fact that p\not=2, it turns out that one can multiply the p-Laplace operator by a positive constant, without affecting the regularity of a boundary point. By constructing suitable families of barriers, we give some simple geometric conditions that ensure the regularity of boundary points.
Boundary regularity for degenerate and singular parabolic equations
GIANAZZA, UGO PIETRO
;
2015-01-01
Abstract
We characterise regular boundary points of the parabolic p-Laplacian in terms of a family of barriers, both when p>2 and p\in(1,2). Due to the fact that p\not=2, it turns out that one can multiply the p-Laplace operator by a positive constant, without affecting the regularity of a boundary point. By constructing suitable families of barriers, we give some simple geometric conditions that ensure the regularity of boundary points.File in questo prodotto:
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