A weak comparison principle for solutions of very degenerate elliptic equations
نویسندگان
چکیده
منابع مشابه
A Strong Comparison Principle for Positive Solutions of Degenerate Elliptic Equations
A strong comparison principle (SCP, for brevity) is obtained for nonnegative weak solutions u ∈ W 1,p 0 (Ω) of the following class of quasilinear elliptic boundary value problems, (P ) −div(a(x,∇u))− b(x, u) = f(x) in Ω; u = 0 on ∂Ω. Here, p ∈ (1,∞) is a given number, Ω is a bounded domain in IR with a connected C-boundary, a(x,∇u) and b(x, u) are slightly more general than the functions a0(x)|...
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ژورنال
عنوان ژورنال: Annali di Matematica Pura ed Applicata (1923 -)
سال: 2013
ISSN: 0373-3114,1618-1891
DOI: 10.1007/s10231-013-0339-5