Local gradient estimates of solutions to some conformally invariant fully nonlinear equations

By Yanyan Li. 2006

83 citations recorded by the source corpus.

We establish local gradient estimates to solutions of general conformally invariant fully nonlinear second order elliptic equations. To cite this article: Y.Y. Li, C. R. Acad. Sci. Paris, Ser. I 343 (2006).

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/519ef70a211088492dea87169a4a1cfdff519db3

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In Applied Mathematics

In Computational Theory and Mathematics

Citations in the corpus

Some remarks on singular solutions of nonlinear elliptic equations. I (2009, background): “The proofs of the above mentioned results in [15] and [16], as well as that of the previously mentioned results in [14] for conformally invariant elliptic operators, make use of the following Lemma A ([13]) For n ≥ 2, B1 ⊂ R, let u ∈ L(1)loc(B1 \ {0}) satisfy lim inf x→0 u(x) = 0,”
Complete Conformal Metrics of Negative Ricci Curvature on Compact Manifolds with Boundary (2008, background): “Their result has been extended to more general symmetric functions; see for instance [5], [12], [20], [19] and [28].”
Hypersurfaces in H n+1 and conformally invariant equations: the generalized Christoffel and Nirenberg problems (2007, result): “s with one end It is possible to extend partially the above arguments to the case of non-compact Weingarten hypersurfaces. Again, the key is the existence of some highly developed theorems by Y.Y. Li [L3, L4] on the characterization of solutions globally deﬁned on Rn of some conformally invariant PD”