Functions of least gradient and 1-harmonic functions
نویسندگان
چکیده
منابع مشابه
Median Values, 1-harmonic Functions, and Functions of Least Gradient
Motivated by the mean value property of harmonic functions, we introduce the local and global median value properties for continuous functions of two variables. We show that the Dirichlet problem associated with the local median value property is either easy or impossible to solve, and we prove that continuous functions with this property are 1-harmonic in the viscosity sense. We then close wit...
متن کاملA Lower Bound for the Gradient of 1-harmonic Functions
We establish a lower bound for the gradient of the solution to 1-Laplace equation in a strongly star-shaped annulus with capacity type boundary conditions. The proof involves properties of the radial derivative of the solution, so that starshapedness of level sets easily follows. x1. Introduction In this paper we deal with solutions to the 1-Laplace equation 1 u = n X i;j=1 u x i u x j u x i x ...
متن کاملA lower estimate of harmonic functions
We shall give a lower estimate of harmonic functions of order greater than one in a half space, which generalize the result obtained by B. Ya. Levin in a half plane.
متن کاملa contrastive study of rhetorical functions of citation in iranian and international elt scopus journals
writing an academic article requires the researchers to provide support for their works by learning how to cite the works of others. various studies regarding the analysis of citation in m.a theses have been done, while little work has been done on comparison of citations among elt scopus journal articles, and so the dearth of research in this area demands for further investigation into citatio...
The Obstacle Problem for Functions of Least Gradient
For a given domain Ω ⊂ n , we consider the variational problem of minimizing the L1-norm of the gradient on Ω of a function u with prescribed continuous boundary values and satisfying a continuous lower obstacle condition u ψ inside Ω. Under the assumption of strictly positive mean curvature of the boundary ∂Ω, we show existence of a continuous solution, with Hölder exponent half of that of dat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2014
ISSN: 0022-2518
DOI: 10.1512/iumj.2014.63.5327