Oberseminar Partielle Differentialgleichungen Detail

Vortragende Person/Vortragende Personen:
Dr. Lukas Koch (Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig)

I will present resent results with Chris Irving (TU Dortmund) on partial boundary regularity for functionals with (p,q)-growth. On the one hand, I will show how to obtain improved differentiability results in the setting of (p,q)-growth that match those obtained in the case of p-growth. On the other hand, combining this with a characterisation of regular boundary points, partial boundary regularity results are obtained in some cases.