Calderón's problem for \(p\)-Laplace type equations (Q2796499)

The author is concerned with the study of general Calderon's problem of recovering the conductivity coefficient from boundary measurements. The model equation considered by the author is \(\text{div}(\sigma |\nabla u|^{p-2}\nabla u)=0\) with \(1<p<\infty\). The dissertation contains results related to the direct problem, boundary determination and detecting inclusions. In the context of boundary determination, the gradient of conductivity is recovered through a Rellich-type identity. Other techniques described by the author rely on enclosure methods in the spirit of Ikehata in order to describe the convex hull of an inclusion of finite conductivity.