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 ...

Abstract We study the nonlinear degenerate problem −∑i=1N∂xiai(x, ∂xiu)=f(x,u) in Ω, u = 0 on ∂Ω, where Ω ⊂ ℝN (N ≥ 3) is a bounded domain with smooth boundary, ∑i=1N∂xiai(x, ∂xiu) is a p→(·) - ...

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 ...