I have very fond memories of high school geometry. Memorizing theorems wasn't too hard, and solving proofs was like solving the logic puzzles that I did for fun anyway. But the theorems were scattered ...

Elliptic equations play a central role in the study of steady-state phenomena across physics, engineering and geometry. Their analysis not only provides insights into the qualitative behaviour of ...

In the classical Hahn-Banach-Kantorovich theorem, the range space Y is Dedekind complete. In this paper, by extending the arguments of the original Hahn-Banach-Kantorovich theorem and using an idea of ...

The Navier-Stokes equations are fundamental in fluid dynamics, describing the motion of incompressible viscous fluids. Their analysis is critical for understanding turbulence, stability, and flow ...

Mathematical Proceedings of the Royal Irish Academy, Vol. 106A, No. 1 (JUNE 2006), pp. 97-113 (17 pages) We prove that two domains of holomorphy U and V in separable Fréchet spaces with the bounded ...