• Corpus ID: 229924216

# A Liouville theorem for M\"{o}bius invariant equations

@inproceedings{Li2020ALT,
title={A Liouville theorem for M\"\{o\}bius invariant equations},
author={Yanyan Li and Han-Chun Lu and Siyuan Lu},
year={2020}
}
• Published 31 December 2020
• Mathematics
In this paper we classify Möbius invariant differential operators of second order in two dimensional Euclidean space, and establish a Liouville type theorem for general Möbius invariant elliptic equations.

## References

SHOWING 1-10 OF 47 REFERENCES

• Mathematics
• 2002
We formulate natural conformally invariant conditions on a 4-manifold for the existence of a metric whose Schouten tensor satisfies a quadratic inequality. This inequality implies that the
• Mathematics
Analysis in Theory and Applications
• 2019
In this paper, we prove a form of the strong comparison principle for a class of fully nonlinear subelliptic operators of the form $\nabla^{2}_{H}\psi+L(\cdot,\psi,\nabla_{H}\psi)$ on the Heisenberg
• Mathematics
• 2009
Abstract.We study strong maximum principles for singular solutions of nonlinear elliptic and degenerate elliptic equations of second order. An application is given on symmetry of positive solutions
We show the existence and nonexistence results of complete conformal metrics with prescribed symmetric functions of the eigenvalues of the Ricci tensor defined on negative cones on Euclidean spaces.
• Mathematics
Communications on Pure and Applied Mathematics
• 2019
In this paper we show rigidity results for supersolutions to fully nonlinear, elliptic, conformally invariant equations on subdomains of the standard n‐sphere Sn under suitable conditions along the
• Mathematics
American Journal of Mathematics
• 2019
abstract:In this paper we prove non-existence and classification results for elliptic fully nonlinear elliptic degenerate conformal equations on certain subdomains of the sphere with prescribed
We introduce, along the lines of [4], an integer valued degree for second order fully nonlinear elliptic operators which is invariant under homotopy within elliptic operators. We also give some