ESTIMATES FOR ELLIPTIC SYSTEMS FOR COMPOSITE MATERIAL

By L. Nirenberg. 2004

270 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/417804d2d848171039cee3b261555dee21e32628

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. Hengguang Li
2. J. Bao
3. Haigang Li
4. Victor Nistor
5. A. Mazzucato
6. Yanyan Li
7. Eric Bonnetier
8. Faouzi Triki

Citations in the corpus

• Gradient estimates for solutions to the conductivity problem (2005, background): “systems by Li and Nirenberg in [7].”
• On a fractional Nirenberg problem, part I: blow up analysis and compactness of solutions (2011, background): “Our arguments are in the spirit of those in [20] and [74].”
• On the Spectrum of the Poincaré Variational Problem for Two Close-to-Touching Inclusions in 2D (2013, background): “The uniform boundedness of the gradient was then generalized to strongly elliptic systems, including the system of elasticity, by Li and Nirenberg [19].”
• ANALYSIS OF THE FINITE ELEMENT METHOD FOR TRANSMISSION/MIXED BOUNDARY VALUE PROBLEMS ON GENERAL POLYGONAL DOMAINS ∗ (2010, background): “Let us nevertheless mention here the papers of Kellogg [40], Kellogg and Aziz [6], Mitrea, Mitrea, and Shi [58], Li and Nirenberg [50], Li and Vogelius [51], Roitberg and Sheftel [68] [69], Schechter [72], and others.”
• Gradient estimates for solutions of the Lam\'e system with partially infinite coefficients in dimensions greater than two (2016, background): “in composite materials. They observed numerically that the size of the strain tensor remains bounded when the distance ǫ, between two inclusions, tends to zero. This was proved by Li and Nirenberg in [32]. Indeed such ǫ-independent gradient estimates was established there for solutions of divergence”
• Gradient Estimates for Solutions of the Lamé System with Partially Infinite Coefficients (2013, background): “cal indication in [10] for the boundedness of the strain tensor as ǫtends to 0. For higher derivative estimates, we draw attention of readers to the open problem on page 894 of [27]. The estimates in [27] and [28] depend on the ellipticity of the coefficients. If ellipticity constants are allowed to d”