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