On the classification of entire solutions to the critical p-Laplace equation

2022/10/11 by Ou, Qianzhong · 6 citations
#35B08 #35B33 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.05141

Abstract

Under the assumption of finite energy, positive solutions to the critical p-Laplace equation in ℝⁿ for 1< p

Cited by

• Classification of positive solutions to a class of Laplace equations with a gradient term
• Radial symmetry of positive solutions to quasilinear Hardy-Sobolev doubly critical systems
• A Liouville theorem for the 2-Hessian equation on the Heisenberg group
• Liouville theorem of the subcritical biharmonic equation on complete manifolds
• Non-radial solutions for the critical quasi-linear Hénon equation involving p-Laplacian in \R^N
• Liouville theorems for anisotropic p-Laplace equations with a semilinear term

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