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 ...

In the present study, we investigate the solution behavior for a class of fourth-order viscoelastic equation with variable-exponent logarithmic nonlinearities. First, we prove the global existence of ...

What are the underlying principles of how populations change over time? Two basic principles are involved, the idea of exponential growth and its ultimate control.

Just as sentences describe relationships between specific words, in algebra, equations describe relationships between variables. Take the following example: ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations.

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

From fractions to exponents, heres how to get your math on in Google Docs.

When the equation 8÷2(2+2)=? is written properly and includes a multiplication sign before the first bracket, the answer is clear.

Most people’s experiences with polynomial equations don’t extend much further than high school algebra and the quadratic formula. Still, these numeric puzzles remain a foundational component ...

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 ...