منابع مشابه
Some remarks on the elliptic Harnack inequality
In this note we give three short results concerning the elliptic Harnack inequality (EHI), in the context of random walks on graphs. The first is that the EHI implies polynomial growth of the number of points in balls, and the second that the EHI is equivalent to an annulus type Harnack inequality for Green’s functions. The third result uses the lamplighter group to give a counterexample concer...
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In this paper, we establish some Harnack type inequalities satisfied by positive solutions of nonlocal inhomogeneous equations arising in the description of various phenomena ranging from population dynamics to micro-magnetism. For regular domains, we also derive an inequality up to the boundary. The main difficulty in such context lies in a precise control of the solutions outside a compact se...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2020
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081087.2020.1750549