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A Nonlinear Dirichlet Problem on the Unit Ball

✍ Scribed by Wolfgang Rother

Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 424 KB
Volume: 160
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.3211600108

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✦ Synopsis

Abstract

In the present paper, we consider the nonlinear Dirichlet problem ‐ Δ__u__(x) u^β^(x) = 0

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is the unit ball and q is a continuous radially symmetric function on B which may be singular on ∂B. We state some mild conditions for the function q so that the Dirichlet problem has a positive classical solution.

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