D
David Gilbarg
Researcher at Stanford University
Publications - 9
Citations - 18790
David Gilbarg is an academic researcher from Stanford University. The author has contributed to research in topics: Dirichlet problem & Flow (mathematics). The author has an hindex of 7, co-authored 9 publications receiving 18157 citations. Previous affiliations of David Gilbarg include Lund University & Indiana University.
Papers
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Book
Elliptic Partial Differential Equations of Second Order
David Gilbarg,Neil S. Trudinger +1 more
TL;DR: In this article, Leray-Schauder and Harnack this article considered the Dirichlet Problem for Poisson's Equation and showed that it is a special case of Divergence Form Operators.
Journal ArticleDOI
Intermediate Schauder estimates
Journal ArticleDOI
Three-dimensional subsonic flows, and asymptotic estimates for elliptic partial differential equations
TL;DR: The theory of irrotational fluid flow in two dimensions has been studied extensively in the mathematical literature as discussed by the authors, with a focus on two-dimensional fluid flow, but without a comprehensive discussion of three-dimensional flow.
Book ChapterDOI
Fully Nonlinear Equations
David Gilbarg,Neil S. Trudinger +1 more
TL;DR: In this paper, the authors consider the solvability of the classical Dirichlet problem for certain types of fully nonlinear elliptic equations, i.e., nonlinear equations that are not quasilinear.
Book ChapterDOI
Laplace’s Equation
David Gilbarg,Neil S. Trudinger +1 more
TL;DR: In this article, the Laplacian of a domain in a C 2(Ω) function is defined as follows: Δ = \sum\limits{i = 1}^n {{D_u}u = div} Du.