Regularity results for quasilinear elliptic systems of power-law growth in nonsmooth domains : boundary, transmission and crack problems

Dorothee Knees
The thesis is devoted to the analysis of weak solutions of quasi-linear elliptic boundary transmission problems on nonsmooth domains. The focus lies on the following two classes of equations which are closely related: general systems of second order quasi-linear elliptic partial differential equations of p-structure with piecewise constant coefficients (e.g. the p-Laplace equation) and field equations for the displacement and stress fields of heterogeneous, physically nonlinear elastic bodies which obey a constitutive relation of power-law...
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