My research is mainly on pure and applied analysis of differential equations. Concerning partial differential equations, I am studying e.g. maximum principles, boundary behavior and growth at infinity of solutions of nonlinear equations, as well as existence, uniqueness and regularity of solutions to equations related to optimization problems and image processing. Concerning ordinary differential equations my focus lies mainly on stability of nonlinear dynamical systems and how to use different stability concepts in applications, e.g. when managing the harvesting of populations and when dimensioning large electric generators.