Mixed boundary value problem for p-harmonic functions in an infinite cylinder

We study a mixed boundary value problem for the p-Laplace equation Δpu=0 in an open infinite circular half-cylinder with prescribed Dirichlet boundary data on a part of the boundary and zero Neumann boundary data on the rest. Existence of weak solutions to the mixed problem is proved both for Sobole...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 202; p. 112134
Main Authors:	Björn, Jana, Mwasa, Abubakar
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.01.2021
Subjects:	[formula omitted]-Laplace equation Boundary regularity Capacity Dirichlet and Neumann data Existence of weak solutions Mixed boundary value problem Unbounded cylinder Wiener criterion secondary Existence of weak solutions Mixed boundary value problem Capacity p-Laplace equation Wiener criterion Boundary regularity Unbounded cylinder primary Dirichlet and Neumann data
ISSN:	0362-546X, 1873-5215, 1873-5215
Online Access:	Get full text
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