A Note on Entire Large Solutions to Semilinear Elliptic Systems of Competitive Type
Document Type
Article
Publication Date
7-15-2025
Abstract
We consider the elliptic system Δu = p(|x|)uavb, Δv = q(|x|)ucvd on Rn (n ≥ 3) where a, b, c, d are positive constants with min {a,d} >1, and the functions p and q are positive and continuous. 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) = ∞.
Source Publication
Nonlinear Analysis (ISSN 0362-546X | eISSN 1873-5215)
Recommended Citation
Lair, A. V. (2025). A Note on entire large solutions to semilinear elliptic systems of competitive type. Nonlinear Analysis, 261, 113903. https://doi.org/10.1016/j.na.2025.113903
COinS
Comments
This article is accepted for inclusion in the December 2025 issue of Nonlinear Analysis, as cited below. The accepted version is openly available for a limited time by the publisher, Elsevier, using the "Link to Full Text" button on this page. It opens the full-text article in HTML. A PDF version is also available to download at that location.