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Asymptotically Linear Elliptic Systems.
- Source :
- Communications in Partial Differential Equations; May/Jun2004, Vol. 29 Issue 5/6, p925-954, 30p
- Publication Year :
- 2004
-
Abstract
- In this paper, we prove, under natural assumptions, that the semilinear elliptic system -Δu+u=g(x,v), x ∈ R<superscript>N</superscript>, -Δv+v=f(x,u), x∈R<superscript>N</superscript> (0.1) possesses at least one positive solution pair (u, v) ∈ H¹(R<superscript>N</superscript>) × H¹(R<superscript>N</superscript>), where f(x, t) and g(x, t) are continuous functions on R<superscript>N</superscript> × R and asymptotically linear as t → + ∞. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03605302
- Volume :
- 29
- Issue :
- 5/6
- Database :
- Complementary Index
- Journal :
- Communications in Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 13637416
- Full Text :
- https://doi.org/10.1081/PDE-120037337