Results 81 to 90 of about 2,173 (142)

Local one-sided maximal function on fractional Sobolev spaces

Mathematical Inequalities & Applications, 2019
In this article we study the boundedness of local one sided maximal operators on weighted fractional Sobolev Spaces. As a consequence we obtain a Lebesgue differentiation theorem for functions in fractional Sobolev spaces.
A. Ghosh, Kalachand Shuin
semanticscholar   +1 more source

The regularity of the positive part of functions in $L^2(I; H^1(\Omega)) \cap H^1(I; H^1(\Omega)^*)$ with applications to parabolic equations

, 2016
Let $u\in L^2(I; H^1(\Omega))$ with $\partial_t u\in L^2(I; H^1(\Omega)^*)$ be given. Then we show by means of a counter-example that the positive part $u^+$ of $u$ has less regularity, in particular it holds $\partial_t u^+ \not\in L^1(I; H^1(\Omega)^*)$
Wachsmuth, Daniel
core   +1 more source

Continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent

, 2010
Our aim in this paper is to deal with continuity properties for Riesz potentials of functions in Morrey spaces of variable exponent. The modulus of continuity is determined by the structure of Morrey space.
Y. Mizuta, T. Shimomura
semanticscholar   +1 more source

Embedding generalized Wiener classes into Lipschitz spaces

Mathematical Inequalities & Applications, 2019
In this note, we give a necessary and sufficient condition for embedding the classes ΛBV(pn↑p) into the generalized Lipschitz spaces Hω q (1 q < p ∞ ). Mathematics subject classification (2010): 46E35, 46E30.
M. M. Goodarzi, M. Hormozi, Zulxumor Tuxtasinovna Abdukaxorova   +2 more
semanticscholar   +1 more source

A note on the Trace Theorem for domains which are locally subgraph of a Holder continuous function [PDF]

, 2013
The purpose of this note is to prove a version of the Trace Theorem for domains which are locally subgraph of a H\" older continuous function.
Muha, Boris
core  

Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in RN

, 2014
We are concerned with the following elliptic equations with variable exponents: −div(φ(x,∇u))+|u|p(x)−2u=λf(x,u) in RN, where the function φ(x,v) is of type |v|p(x)−2v with continuous function p:RN→(1,∞) and f:RN×R→R satisfies a Carathéodory condition ...
Seung Dae Lee, Kisoeb Park, Yun-Ho Kim
semanticscholar   +1 more source

Boundedness of generalized Riesz potentials of functions in Morrey spaces L^(1,φ;κ)(G) over non-doubling measure spaces

Mathematical Inequalities & Applications, 2019
Our aim in this paper is to deal with the boundedness of generalized Riesz potentials Iρ,μ ,τ f of functions in Morrey spaces L(1,φ;κ)(G) over non-doubling measure spaces, as an extension of [4, 6, 9, 12, 19].
Y. Sawano, T. Shimomura
semanticscholar   +1 more source

Variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator

, 2017
In this paper, variable integral and smooth exponent Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator are introduced. Then equivalent norms and atomic decomposition of these new spaces are given.
Jingshi Xu, Xiaodi Yang
semanticscholar   +1 more source

Sobolev-type spaces from generalized Poincaré inequalities

, 2007
We de ne a Sobolev space by means of a generalized Poincare inequality and relate it to a corresponding space based on upper gradients.
Toni Heikkinen, P. Koskela, Heli Tuominen   +2 more
semanticscholar   +1 more source

Extremal functions for the modified Trudinger-Moser inequalities in two dimensions

Mathematical Inequalities & Applications, 2019
Let Ω ⊂ R2 be a smooth bounded domain, W 1,2 0 (Ω) be the standard Sobolev space. Assuming certain conditions on a function g : R → R , we prove that the supremum sup u∈W 0 (Ω),‖∇u‖2 1 ∫ Ω (1+g(u))e4πu 2 dx, can be attained by some function u0 ∈W 1,2 0 ...
Ya in Wang
semanticscholar   +1 more source