Degenerate conformally invariant fully nonlinear elliptic equations

DOI10.1007/s00205-006-0041-5zbMath1158.35048arXivmath/0504598OpenAlexW2058937016MaRDI QIDQ948765

Yan-yan Li

Publication date: 20 October 2008

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504598

zbMATH Keywords

DegenerateConformally invariantEntire solutions, Liouville theoremFully nonlinear elliptic equations

Mathematics Subject Classification ID

Related Items (17)

On conformally invariant equations on \(\mathbf R^n\) ⋮ Harnack Inequalities and Bôcher-Type Theorems for Conformally Invariant, Fully Nonlinear Degenerate Elliptic Equations ⋮ On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations ⋮ Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities ⋮ A Liouville's theorem for some Monge-Ampère type equations ⋮ <scp>Isotropic‐Nematic</scp> Phase Transition and Liquid Crystal Droplets ⋮ Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems ⋮ A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry ⋮ On conformally invariant equations on \(R^n\)-II. Exponential invariance ⋮ On fully nonlinear CR invariant equations on the Heisenberg group ⋮ Towards a Liouville Theorem for Continuous Viscosity Solutions to Fully Nonlinear Elliptic Equations in Conformal Geometry ⋮ The axisymmetric \(\sigma_k\)-Nirenberg problem ⋮ On the Dirichlet problem for fully nonlinear elliptic equations on annuli of metric cones ⋮ Local gradient estimates of solutions to some conformally invariant fully nonlinear equations ⋮ Strong comparison principles for some nonlinear degenerate elliptic equations ⋮ Invariant conformal metrics on $\mathbb{S}^{n}$

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