

Author: D'Asero S.
Publisher: Taylor & Francis Ltd
ISSN: 0003-6811
Source: Applicable Analysis, Vol.82, Iss.1, 2003-01, pp. : 55-74
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Abstract
In the domain D = - F it is considered a degenerate nonlinear higher order elliptic equation such that the corresponding energetic space is W1,q (D, wq)
Wm,p (D, wp), mp < q < n, and wq, wp are weighted functions from some Muckenhoupt classes. A behavior of a solution u(x) is studied for the equation under consideration with the boundary value condition , where and f (x) = 1 for x
F. The pointwise estimate for u(x) is proved in terms of the weighted higher order capacity of the set F and the distance from the point x to the set F.
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