Removability of Singularities with Anisotropic Growth
ثبت نشده
چکیده
Abstract. With help of suitable anisotropic Minkowski’s contents and Hausdorff measures some results are obtained concerning removability of singularities for solutions of partial differential equations with anisotropic growth in the vicinity of the singular set.
منابع مشابه
Removability of singularity for nonlinear elliptic equations with p(x)-growth∗
Using Moser’s iteration method, we investigate the problem of removable isolated singularities for elliptic equations with p(x)-type nonstandard growth. We give a sufficient condition for removability of singularity for the equations in the framework of variable exponent Sobolev spaces.
متن کاملElliptic Systems with Boundary Blow-up: Existence, Uniqueness and Applications to Removability of Singularities
In this paper we consider the elliptic system ∆u = u− v, ∆v = −u + v in Ω, where the exponents verify p, s > 1, q, r > 0 and ps > qr and Ω is a smooth bounded domain of R . First, we show existence and uniqueness of boundary blow-up solutions, that is, solutions (u, v) verifying u = v = +∞ on ∂Ω. Then, we use them to analyze the removability of singularities of positive solutions of the system ...
متن کاملRemovable singularities for analytic functions in BMO and locally Lipschitz spaces
In this paper we study removable singularities for holomorphic functions such that supz∈Ω |f (z)|dist(z, ∂Ω) < ∞. Spaces of this type include spaces of holomorphic functions in Campanato classes, BMO and locally Lipschitz classes. Dolzhenko (1963), Král (1976) and Nguyen (1979) characterized removable singularities for some of these spaces. However, they used a different removability concept th...
متن کاملRemovable singularities for Hardy spaces
In this paper we study removable singularities for Hardy spaces of analytic functions on general domains. Two different definitions are given. For compact sets they turn out to be equal and moreover independent of the surrounding domain, as was proved by D. A. Hejhal. For non-compact sets the difference between the definitions is studied. A survey of the present knowledge is given, except for t...
متن کاملRemovability of singularities of harmonic maps into pseudo-riemannian manifolds
We consider harmonic maps into pseudo-Riemannian manifolds. We show the removability of isolated singularities for continuous maps, i.e. that any continuous map from an open subset of R into a pseudoRiemannian manifold which is two times continuously differentiable and harmonic everywhere outside an isolated point is actually smooth harmonic everywhere. Introduction Given n ∈ N and two nonnegat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003