Nonexistence of positive entire solutions to systems of semilinear elliptic inequalities
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Published Version
Date
2026-08-04
Authors
Devine, Daniel
Journal Title
Journal ISSN
Volume Title
Publisher
Springer International Publishing
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Abstract
Consider the system (Formula presented.) where n≥2, f,g∈C[0,∞) and p,q∈C(Rn). If f, g are non-decreasing and convex, using a comparison argument we prove a sufficient Keller-Osserman type condition for the nonexistence of entire solutions. This result is sharp for a wide class of systems. Similar results are also shown to hold for systems without gradient terms.
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Keywords
Elliptic systems , Coercive systems , Nonlinear gradient terms , [Maths]
Citation
Devine, D 2026, 'Nonexistence of positive entire solutions to systems of semilinear elliptic inequalities', Nonlinear Differential Equations and Applications, vol. 33, no. 5, 114, pp. 1-14. https://doi.org/10.1007/s00030-026-01258-4