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→(·) - ...

This is a preview. Log in through your library . Abstract This paper considers the Cauchy problem of the 3D rotating fractional Boussinesq equations in Fourier-Besov-Morrey spaces with variable ...

Quarterly of Applied Mathematics, Vol. 65, No. 4 (December 2007), pp. 705-736 (32 pages) A system of transmission of Euler-Bernoulli plate equation with variable coefficients under Neumann control and ...

For centuries, one of algebra’s oldest puzzles has remained unsolved—how to find exact answers for higher-degree polynomials, where the variable is raised to the fifth power or more. Mathematicians ...

Quadratic equations are polynomials, meaning strings of math terms. An expression like “x + 4” is a polynomial. They can have ...