Symmetry results for positive solutions of some elliptic equations on manifolds

DOI10.1023/A:1006644025734zbMath0968.58015MaRDI QIDQ1973270

Yanyan Li

Publication date: 11 September 2001

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

positive solutionselliptic PDEmoving plane method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05)

Related Items (5)

SYMMETRY AND EXISTENCE OF SOLUTIONS OF SEMI-LINEAR ELLIPTIC SYSTEMS IN HYPERBOLIC SPACE ⋮ Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties ⋮ Some connections between symmetry results for semilinear PDE in real and hyperbolic spaces ⋮ A few symmetry results for nonlinear elliptic PDE on noncompact manifolds ⋮ Higher order Brezis-Nirenberg problem on hyperbolic spaces: existence, nonexistence and symmetry of solutions

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