Applicable Analysis and Discrete Mathematics, Vol. 17, No. 2 (October, 2023), pp. 480-495 (16 pages) This paper is divided in two parts. In the first part, we prove coercivity results and minimization ...

The mixed problem for the Laplace equation outside cuts in a plane is considered. The Dirichlet condition is posed on one side of each cut and the skew derivative condition is posed on the other side.

Elliptic operators play a central role in the analysis of partial differential equations, underpinning a wide range of phenomena from quantum mechanics to heat conduction. In particular, the study of ...