Serrin, James; Zou, Henghui Non-existence of positive solutions of semilinear elliptic systems. (English) Zbl 0900.35121 Bakelman, I. R. (ed.) et al., A tribute to Ilya Bakelman. Proceedings of a conference, College Station, TX, USA, October 1993. College Station, TX: Texas A & M University. Discourses Math. Appl. 3, 55-68 (1994). The authors prove several nonexistence results for positive solutions with a prescribed growth at infinity of the weakly coupled system \[ \Delta u+ f(v)=0,\quad \Delta v+g(u)=0\quad\text{in }\mathbb{R}^n. \]For the entire collection see [Zbl 0845.00031]. Cited in 1 ReviewCited in 24 Documents MSC: 35J60 Nonlinear elliptic equations 35J45 Systems of elliptic equations, general (MSC2000) Keywords:nonexistence; weakly coupled system PDF BibTeX XML Cite \textit{J. Serrin} and \textit{H. Zou}, Discourses Math. Appl. 3, 55--68 (1994; Zbl 0900.35121) OpenURL