Damascelli, Lucio; Gladiali, Francesca Some nonexistence results for positive solutions of elliptic equations in unbounded domains. (English) Zbl 1330.35146 Rev. Mat. Iberoam. 20, No. 1, 67-86 (2004). Summary: We prove some Liouville type theorems for positive solutions of semilinear elliptic equations in the whole space \(\mathbb{R}^N\), \(N\geq 3\), and in the half space \(\mathbb{R}^N_+\) with different boundary conditions, using the technique based on the Kelvin transform and the Alexandrov-Serrin method of moving hyperplanes. In particular we get new nonexistence results for elliptic problems in half spaces satisfying mixed (Dirichlet-Neumann) boundary conditions. Cited in 33 Documents MSC: 35J60 Nonlinear elliptic equations 35B50 Maximum principles in context of PDEs Keywords:Liouville theorems; Kelvin transform; maximum principle; moving plane PDFBibTeX XMLCite \textit{L. Damascelli} and \textit{F. Gladiali}, Rev. Mat. Iberoam. 20, No. 1, 67--86 (2004; Zbl 1330.35146) Full Text: DOI EuDML