L. Caffarelli

AND (2009)

Of Jörgens, L. Caffarelli, Yanyan Li

A classical theorem of Jörgens (n = 2 [17]), Calabi (n ≤ 5 [7]), and Pogorelov (n ≥ 2 [18]) states that any classical convex solution of (1.1) det(D 2 u) = 1 inR n must be a quadratic...

Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation (2006)

Caffarelli, L., Vasseur, A.

Motivated by the critical dissipative quasi-geostrophic equation, we prove that drift-diffusion equations with L^2 initial data and minimal assumptions on the drift are locally Holder continuous. As...

A Liouville theorem for solutions of the Monge–Ampère equation with periodic data (2004)

Caffarelli, L, Li, Yan Yan

Solutions of fully nonlinear elliptic equations with patches of zero gradient: existence, regularity and convexity of level curves (1997)

L. Caffarelli, J. Salazar

Abstract. In this paper, we first construct “viscosity ” solutions (in the Crandall-Lions sense) of fully nonlinear elliptic equations of the form F (D 2 u, x) =g(x, u) on {|∇u | �=0} In...

First order interpolation inequalities with weights (1984)

Caffarelli, L., Kohn, R., Nirenberg, L.

On multimeron solutions of the Yang-Mills equations (1982)

Caffarelli, L., Gidas, B., Spruck, J.

On Viscosity Solutions of Fully Nonlinear Equations with Measurable Ingredients

L. Caffarelli, M.G. CRANDALL, M. KOCAN, A. Swiech

We study fully nonlinear uniformly elliptic equations with measurable ingredients. Recently significant progress has been made in this area due to fundamental work of Caffarelli on W 2;p estimates...