Liu, Baiyu; Ma, Li Symmetry results for elliptic Schrödinger systems on half spaces. (English) Zbl 1260.35162 J. Math. Anal. Appl. 401, No. 1, 259-268 (2013). Summary: In this paper, we prove some symmetry and monotonicity results for classical positive solutions for elliptic Schrödinger systems on half spaces with the Neumann type condition. Our methods employ the Alexandrov-Serrin method of moving planes combined with Hopf’s lemma at a corner. Cited in 4 Documents MSC: 35Q41 Time-dependent Schrödinger equations and Dirac equations 35J10 Schrödinger operator, Schrödinger equation 35B09 Positive solutions to PDEs 35B06 Symmetries, invariants, etc. in context of PDEs Keywords:method of moving planes; symmetry; positive solutions; Neumann boundary condition PDFBibTeX XMLCite \textit{B. Liu} and \textit{L. Ma}, J. Math. Anal. Appl. 401, No. 1, 259--268 (2013; Zbl 1260.35162) Full Text: DOI