The goal of this paper is to study the following prob- lem: given a linear elliptic operator L and a function f : → + such that f (0) = 0, find necessary and sufficient conditions on the pair (L, f) that guarantee the positivity of nontrivial distributional solutions of the differential inequality Lu≥f(u) in n
Positivity property of solutions of some elliptic inequalities on R^n
MITIDIERI, ENZO;
2003-01-01
Abstract
The goal of this paper is to study the following prob- lem: given a linear elliptic operator L and a function f : → + such that f (0) = 0, find necessary and sufficient conditions on the pair (L, f) that guarantee the positivity of nontrivial distributional solutions of the differential inequality Lu≥f(u) in nFile in questo prodotto:
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