PDEA Seminar: Elliptic $p$-Laplace systems with complex coefficients

Abstract: We consider a system of $p$-Laplace type equations where the coefficient and solution are allowed to be complex valued. Under suitable assumptions on the coefficient we extend the real-valued existence and regularity theory to the complex setting. We also consider families of coefficient functions parametrized by a complex variable and prove a differentiability result for the map taking the complex parameter to the corresponding solution.

Participate on site or via Zoom link, meeting ID: 67226102216. Ensure Zoom access by contacting the organisers in advance.

This is a seminar in the PDEs and Applications seminar series.