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, ...

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 ...

ABSTRACT: 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 ...

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 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, ...

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 ...

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 ...

An equation is a mathematical statement showing that two expressions are equal. The two expressions are linked with an equals symbol (=). The unknown variable (often the letter \(x\)) can take any ...