Elliptic equations represent a fundamental class of partial differential equations that arise in numerous models of steady-state processes, ranging from heat conduction to elasticity. Their study ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

This book serves as a bridge between graduate textbooks and research articles in the area of nonlinear elliptic partial differential equations. Whereas graduate textbooks present basic concepts, the ...

Elliptic differential equations constitute a fundamental class of partial differential equations that arise in the modelling of steady-state phenomena in physics, engineering, and beyond. Their study ...

This is a preview. Log in through your library . Abstract Barrier arguments are used to prove regularity of boundary points for a large class of uniformly elliptic operators when the domain satisfies ...

In August, a pair of mathematicians discovered an exotic, record-breaking curve. In doing so, they tapped into a major open question about one of the oldest and most fundamental kinds of equations in ...