Scientific Commons: L. Nirenberg

On the Hopf Lemma (2007)

The Hopf Lemma for second order elliptic operators is proved to hold in domains with $C^{1,\alpha}$, and even less regular, boundaries. It need not hold for $C^1$ boundaries. Corresponding results...

PROPERTIES OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE (2005)

AGMON,S., NIRENBERG,L.

This analysis concerns the study of equations of the form Lu = 1 dui dt - Au = 0 for functions u(t) with values in some Banach space, as well as inhomogeneous equations Lu = f and ligh ly perturbed...

ON THE ANALUTICITY OF THE SOLUTIONS OF LINEAR ELLIPTIC SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS (1998)

NIRENBERG, L., MORREY, C.B. JR.

CONVEXITY THEOREMS AND LOWER BOUNDS FOR SOLUTIONS OF DIFFERENTIAL EQUATIONS IN BANACH SPACE, (1998)

Agmon ,S., Nirenberg,L.

The purpose of this analysis is to show that similar results hold in a much more general case, when iA is a non-real multiple or an infinitesimal generator of a one parameter group of bounded...

LECTURE SERIES IN DIFFERENTIAL EQUATIONS. SESSION 4. DIFFERENTIAL OPERATORS, (1998)

Calderon, A. P., Coddington, E. A., Nirenberg, L.

Contents: Estimates for singular integral operators; Formally normal ordinary differential operators; and On Pseudo-differential operators.

Inequalities for second-order elliptic equations with applications to unbounded domains I (1996)

Berestycki, H., Caffarelli, L. A., Nirenberg, L.

On fully nonlinear elliptic equations of second order (1988)

Nirenberg, L.

First order interpolation inequalities with weights (1984)

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

Variational methods in nonlinear problems (1980)

Nirenberg, L.

Gidas, B., Ni, Wei Ming, Nirenberg, L.