Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms
Tianling Jin
Department of Mathematics, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854, USA
Abstract
We prove some symmetry property for equations with Hardy terms in cones, without any assumption at infinity. We also show symmetry property and nonexistence of entire solutions of some elliptic systems with Hardy weights.
Cite this article
Tianling Jin, Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms. Ann. Inst. H. Poincaré Anal. Non Linéaire 28 (2011), no. 6, pp. 965–981
DOI 10.1016/J.ANIHPC.2011.07.003