4 papers
Energy identity for anti-self-dual instantons on C\timesΣ
Katrin Wehrheim
We prove an energy identity for anti-self-dual connections on the product C\timesΣof the complex plane and a Riemann surface. The energy is a multiple of a basic constant that is d…
Energy quantization and mean value inequalities for nonlinear boundary value problems
Katrin Wehrheim
We give a unified statement and proof of a class of wellknown mean value inequalities for nonnegative functions with a nonlinear bound on the Laplacian. We generalize these to doma…
Banach space valued Cauchy-Riemann equations with totally real boundary conditions
Katrin Wehrheim
The main purpose of this paper is to give a general regularity result for Cauchy-Riemann equations in complex Banach spaces with totally real boundary conditions. The usual ellipti…
Anti-self-dual instantons with Lagrangian boundary conditions I : Elliptic theory
Katrin Wehrheim
We study a nonlocal boundary value problem for anti-self-dual instantons on 4-manifolds with a space-time splitting of the boundary. The model case is , where is a…