Classification theorems for solutions of higher order boundary conformally invariant problems. I.

DOI10.1016/j.jfa.2016.08.020zbMath1355.31004arXiv1601.06852OpenAlexW2963526030MaRDI QIDQ329641

Jingang Xiong, Li-Ming Sun

Publication date: 21 October 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.06852

zbMATH Keywords

Poisson kernelpolyharmonic functions\(Q\)-curvatureconformally invariant equations

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30)

Related Items (12)

Classification of positive solutions to a divergent equation on the upper half space ⋮ Liouville type theorem for critical order Hénon-Lane-Emden type equations on a half space and its applications ⋮ Qualitative properties for solutions to subcritical fourth order systems* ⋮ Fractional Hardy-Hénon equations on exterior domains ⋮ Liouville theorem for poly-harmonic functions on \(\mathbb{R}^n_+ \) ⋮ Local behavior of solutions to fractional Hardy-Hénon equations with isolated singularity ⋮ Uniformization theorems: between Yamabe and Paneitz ⋮ On a conformally invariant integral equation involving Poisson kernel ⋮ The critical semilinear elliptic equation with isolated boundary singularities ⋮ Asymptotic symmetry and local behavior of solutions of higher order conformally invariant equations with isolated singularities ⋮ Conformal boundary operators, \(T\)-curvatures, and conformal fractional Laplacians of odd order ⋮ Nonlinear biharmonic equation in half-space with rough Neumann boundary data and potentials

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