Symmetry and nonexistence of positive solutions of elliptic equations and systems with Hardy terms

DOI10.1016/j.anihpc.2011.07.003zbMath1235.35018OpenAlexW2102348157MaRDI QIDQ654168

Tianling Jin

Publication date: 28 December 2011

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.07.003

zbMATH Keywords

nonexistenceKelvin transformationCaffarelli-Kohn-Nirenberg inequalityHardy-Sobolev inequalityPohozaev identityLane-Emden systemmoving sphere method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Entire solutions to PDEs (35B08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (6)

Symmetry and nonexistence of positive solutions for fractional systems ⋮ A Pohozaev identity for the fractional Hénon system ⋮ Monotonicity and one-dimensional symmetry of solutions for fractional reaction-diffusion equations and various applications of sliding methods ⋮ Weighted polyharmonic equation with Navier boundary conditions in a half space ⋮ Symmetry and nonexistence of positive solutions of integral systems with Hardy terms ⋮ Symmetry and non-existence of positive solutions for PDE system with Navier boundary conditions on a half space

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