JSTOR Daily

Optimal Regularity for Nonlinear Elliptic Equations with Righthand Side Measure in Variable Exponent Spaces

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 ...
Scientific Research Publishing

Radulescu, V.D. and Repovs, D.D. (2015) Partial Differential Equations with Variable Exponent: Variational Methods and Qualitative Analysis. CRC Press, Taylor & Francis Group ...

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 ...
Scientific Research Publishing

Radulescu, V.D. and Repovs, D.D. (2015) Partial Differential Equations with Variable Exponent: Variational Methods and Qualitative Analysis. CRC Press, Taylor & Francis Group ...

ABSTRACT: In this paper we present the notion of the space of bounded p(·)-variation in the sense of Wiener-Korenblum with variable exponent. We prove some properties of this space and we show that ...
IEEE

Computational Approaches for Solving Complex Differential Equations: Implementation of the Direct Numerical Method with Modeling and Analysis of Bifurcation Diagrams and ...

Abstract: In different areas like physics, engineering, biology, for example, to predict the behavior of composite systems one has to solve complex differential equations. This paper reviews the ...