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math.AP2024
Gradient and Hessian regularity in elliptic transmission problems near a point cusp
Dieter Bothe, Pierre-Etienne Druet, Robert Haller
We consider elliptic transmission problems in several space dimensions near an interface which is diffeomorphic to an axisymmetric reference-interface with a singular poi…
math.AP2024
A regularity result for quasilinear elliptic systems with an equation of energy-type
Pierre-Etienne Druet
We study the continuity of weak solutions for quasilinear elliptic systems with source terms of critical growth arising from a transport-energy structure. The latter occurs frequen…