40 citations · 44 across the 9 of their papers we have counts for
9 papers
Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators
Luis Caffarelli, YanYan Li, Louis Nirenberg
The paper concerns singular solutions of nonlinear elliptic equations, which include removable singularities for viscosity solutions, a strengthening of the Hopf Lemma including pa…
A miscellany
YanYan Li, Louis Nirenberg
We present several results, including some remarks on the Hopf Lemma.
Partial results on extending the Hopf Lemma
YanYan Li, Louis Nirenberg
In [1], Theorem 3, the authors proved, in one dimension, a generalization of the Hopf Lemma, and the question arose if it could be extended to higher dimensions. In this paper we p…
Some remarks on singular solutions of nonlinear elliptic equations. I
Luis Caffarelli, YanYan Li, Louis Nirenberg
The paper concerns singular solutions of nonlinear elliptic equations.
On the Hopf Lemma
YanYan Li, L. Nirenberg
The Hopf Lemma for second order elliptic operators is proved to hold in domains with , and even less regular, boundaries. It need not hold for boundaries. Correspond…
A geometric problem and the Hopf Lemma. II
YanYan Li, Louis Nirenberg
A classical result of A.D. Alexandrov states that a connected compact smooth dimensional manifold without boundary, embedded in , and such that its mean curvature…