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 ...

In this paper, we first establish a principle of concentration compactness in $W^{1,p(x)}({\Bbb R}^{N})$ . Then, based on this concentration compactness principle, we ...

This is a preview. Log in through your library . Abstract We generalize the Newton polygon procedure for algebraic equations to generate solutions of polynomial differential equations of the form ∑∞ ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

Data from an experiment may result in a graph indicating exponential growth. This implies the formula of this growth is \(y = k{x^n}\), where \(k\) and \(n\) are constants. Using logarithms, we can ...

Whether youve switched to Google Docs for typed notes or need to create a worksheet with complex mathematical notations, Google Docs has a built-in equation editor to make it easy. To get started, ...