In this paper, we proof some properties of the space of bounded p(·)-variation in Wiener’s sense. We show that a functions is of bounded p(·)-variation in Wiener’s sense with variable exponent if and ...

1 College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China. 2 Faculty of Science, University of Dalanj, Dalanj, Sudan. 3 College of Education, Shendi University, Shendi, ...

Department of Mathematics, Faculty of Sciences, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia College of Sciences, University of Jeddah, Jeddah, Saudi Arabia ...

We study a nonlinear elliptic equation with measurable nonlinearity in a nonsmooth domain when the righthand side is a measure. A global Calderón-Zygmund type estimate in variable exponent spaces is ...

This is a preview. Log in through your library . Abstract In the present study, we investigate the solution behavior for a class of fourth-order viscoelastic equation with variable-exponent ...

This paper introduces a class of adaptive Perona-Malik (PM) diffusion, which combines the PM equation with the heat equation. The PM equation provides a potential algorithm for image segmentation, ...

In this paper, a new Kirchhoff type viscoelastic wave equation with logarithmic nonlinearity of variable exponents is studied. By constructing auxiliary functions and using Young’s inequality and ...

Abstract: This paper introduces a class of adaptive Perona-Malik (PM) diffusion, which combines the PM equation with the heat equation. The PM equation provides a potential algorithm for image ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

An illustration of a magnifying glass. An illustration of a magnifying glass.