Elliptic equations constitute a fundamental class of partial differential equations describing steady‐state phenomena across physics, geometry and engineering. Their stability analysis investigates ...

Nonlinear elliptic equations form a central class of partial differential equations characterised by the presence of an elliptic operator whose behaviour depends nonlinearly on the solution or its ...

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 ...

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 ...