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Entire Large Solutions to Semilinear Elliptic Systems of Competitive Type

Entire Large Solutions to Semilinear Elliptic Systems of Competitive Type

Year:    2019

Author:    Alan V. Lair

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 52–65

Abstract

We consider the elliptic system Δu=p(|x|)uavb, Δv=q(|x|)ucvd on Rn (n3) where a, b, c, d are nonnegative constants with max{a,d}1, and the functions p and q are nonnegative, continuous, and the support of min{p(r),q(r)} is not compact.  We establish conditions on p and q, along with the exponents a, b, c, d, which ensure the existence of a positive entire solution satisfying lim|x|u(x)=lim|x|v(x)=.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v32.n1.4

Journal of Partial Differential Equations, Vol. 32 (2019), Iss. 1 : pp. 52–65

Published online:    2019-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Large solution

Author Details

Alan V. Lair Email