On the Dirichlet problem for quasilinear elliptic second order equations with triple degeneracy and singularity in a domain with a boundary conical point

In this article we prove boundedness and Holder continuity of weak solutions to the Dirichlet problem for a second order quasilinear elliptic equation with triple degeneracy and singularity. In particular, we study equations of the form $$ -frac{d}{dx_i} (|x|^au |u|^q |abla u|^{m-2} u_{x_i})+ frac{a...

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Bibliographic Details
Main Authors: Michail Borsuk, Dmitriy Portnyagin
Format: Article
Language:English
Published: Texas State University 1999-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1999/23/abstr.html