Work of Louis Nirenberg YanYan
نویسندگان
چکیده
Louis Nirenberg is one of the most outstanding analysts of the twentieth century. For more than half a century, he has been a world leader in partial differential equations – a master of inequalities and regularity theory – with fundamental contribution in geometry, complex analysis, and fluid dynamics. Nirenberg is a household name in these fields. In addition to the depth and its basic importance, his work also has enormous influence on others. In each of the last 10 years, top 15 cited papers in mathematics include at least 2 of Nirenbergs, according to the MathSciNet. Working with others has been an essential part of Nirenbergs research — more than 90% of his research are joint works.
منابع مشابه
On the Hopf Lemma
The Hopf Lemma for second order elliptic operators is proved to hold in domains with C, and even less regular, boundaries. It need not hold for C boundaries. Corresponding results are proved for second order parabolic operators.
متن کاملSome recent work on elliptic systems from composite material
Dedicated to Louis Nirenberg with admiration and friendship In this talk I describe some recent joint work with Louis. Please see [8] for details. Let D be a bounded domain in R n. For positive constants 0 < λ ≤ Λ < ∞, let A(λ, Λ) denote the class of measurable coefficients {A αβ ij (x)}, 1 ≤ α, β ≤ n, 1 ≤ i, j ≤ N, which satisfy |A αβ ij (x)| ≤ Λ ∀ α, β, i, j, and x ∈ D, (1) and D
متن کاملSome remarks on singular solutions of nonlinear elliptic equations. I
We study strong maximum principles for singular solutions of nonlinear elliptic and degenerate elliptic equations of second order. An application is given on symmetry of positive solutions in a punctured ball using the method of moving planes. Mathematics Subject Classification (2000). 35J69, 58J05, 53C21, 35J60.
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