Counterexamples and uniqueness for \(L^{p}(\partial \Omega )\) oblique derivative problems
Explicit examples with vanishing oblique derivative in \(L^p\), \(p\leq 2\), are given, where the continuous vector field is replaced by a large perturbation of the normal vector field. Other example and Fredholm properties of some non-variational layer potential are discussed.
scientific article; zbMATH DE number 5161230
scientific article