Focus of the seminar

This is a follow up seminar of the course ndir247 from the past winter term. We will continue its program: In this course we focus on properties of weak solutions to elliptic systems with growth of the elliptic term given by some N-function. We start with existence and uniqueness of the solution. Then derive some basic regularity properties as higher differentiability and H"older continuity of gradient of solution. Finally we show how the results can be applied to get maximal Lp and BMO regularity of the weak solution.


A script of the course will step by step appear here.


The presentation will follow the articles below

Diening, L.; Ettwein, F.: Fractional estimates for non-differentiable elliptic systems with general growth. Forum Math. 20 (2008), no. 3, 523–556.

Diening, L.; Stroffolini, B.; Verde, A.: Everywhere regularity of functionals with φ-growth. Manuscripta Math. 129 (2009), no. 4, 449–481.

Diening, L.; Kaplický, P.; Schwarzacher, S. BMO estimates for the p-Laplacian. Nonlinear Anal. 75 (2012), no. 2, 637–650.


The seminar takes place in the lecture hall K7 in Karlin every Monday from 2 p.m.


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