Dai, Qiuyi Entire positive solutions for inhomogeneous semilinear elliptic systems. (English) Zbl 1073.35086 Glasg. Math. J. 47, No. 1, 97-114 (2005). The main goal of this paper is to study the existence and nonexistence problems for inhomogeneous semilinear elliptic systems \[ -\Delta u= v^p+ f(x),\quad x\in \mathbb{R}^n,\qquad -\Delta v= u^q+ g(x),\quad x\in\mathbb{R}^n,\qquad u(x)> 0,\;v(x)> 0,\quad x\in\mathbb{R}^n. \] A criteria of existence and nonexistence of positive solutions is given by the exponents of the rate of nonlinear terms of infinity. Reviewer: Messoud A. Efendiev (Berlin) Cited in 1 ReviewCited in 8 Documents MSC: 35J60 Nonlinear elliptic equations 35J45 Systems of elliptic equations, general (MSC2000) Keywords:existence and nonexistence; positive solution; inhomogeneous elliptic systems PDFBibTeX XMLCite \textit{Q. Dai}, Glasg. Math. J. 47, No. 1, 97--114 (2005; Zbl 1073.35086) Full Text: DOI