Der Forschungsschwerpunkt liegt in der nichtlinearen Analysis und entsprechenden Anwendungen. Dabei werden Fragen aus den Problemkreisen Variationsrechnung, Partielle Differentialgleichungen, Theorie kritischer Punkte, Nichtlineare Elastizitätstheorie und Kontaktprobleme, Mathematische Grundlagen der Kontinuumsmechanik,  Numerik nichtglatter Probleme betrachtet.

• Variationsrechnung
• Partielle Differentialgleichungen
• Theorie kritischer Punkte
• Nichtlineare Elastizitätstheorie und Kontaktprobleme
• Mathematische Grundlagen der Kontinuumsmechanik
• Numerik nichtglatter Probleme

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The field of research in my group is nonlinear analysis and related applications, in particular:

•   calculus of variations
•   partial differential equations
•   theory of critical points
•   nonlinear elasticity and critical points
•   mathematical foundations of continuum mechanics
•   numerics of nonsmooth problems

More precisely, highly degenerate partial differential equations related to nonsmooth variational problems are treated. Here we consider elliptic problems as, e.g., the eigenvalue problem for the 1-Laplacian but also free boundary value problems related to contact problems in nonlinear elasticity. In addition to analytical investigations, numerical schemes for such problems are developed and implemented. Moreover, for a better description of concentration phenomena, a new mathematical approach to the foundations of continuum mechanics has been developed.