Linearity of homogeneous order-one solutions to elliptic equations in dimension three
نویسندگان
چکیده
منابع مشابه
Positive solutions to second order semi-linear elliptic equations
Here G ⊆ R (N ≥ 2) is an unbounded domain, and L is a second-order elliptic operator. We mainly confine ourselves to the cases F (x, u) = W (x)u with real p and W (x) a real valued function on G, and F (x, u) = g(u) with g : R→ R continuous and g(0) = 0. The operator L = H − V is of Schrödinger type, namely V = V (x) is a real potential and H = −∆ or more generally H = −∇ · a · ∇ is a second or...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Mathematics
سال: 2003
ISSN: 0010-3640,1097-0312
DOI: 10.1002/cpa.10064