4.6 Article

Comparison theorems for second-order elliptic inequalities

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PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2004.06.002

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nonlinear elliptic inequalities; unbounded domains; capacity

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We study non-negative solutions of the elliptic inequalities [GRAPHICS] where Q A 0 is an open subset of R-n, n greater than or equal to 2, and F : Omega x [0, infinity) --> [0, infinity) is some function. In particular, the influence of the geometric properties of Q in the behavior of solutions is investigated. (C) 2004 Elsevier Ltd. All rights reserved.

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