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Asymptotics for Semilinear Elliptic Systems
Published online by Cambridge University Press: 20 November 2018
Abstract
A class of weakly coupled systems of semilinear elliptic partial differential equations is considered in an exterior domain in ℝN, N > 3. Necessary and sufficient conditions are given for the existence of a positive solution (componentwise) with the asymptotic decay u(x) = O(|x|2-N) as |x| —> ∞. Additional results concern the existence and structure of positive solutions u with finite energy in a neighbourhood of infinity.
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- Copyright © Canadian Mathematical Society 1991
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