A study of regularity estimate for weak solution to generalized stationary Stokes-type
systems involving p-Laplacian is offered. The governing systems of equations are based on …

We consider Calderón–Zygmund type estimates for the non-homogeneous p (⋅)-Laplacian
system− div (| D u| p (⋅)− 2 D u)=− div (| G| p (⋅)− 2 G), where p is a variable exponent. We …

We investigate the global regularity for weak solutions to a generalized stationary Stokes
problem with BMO coefficients in a non-smooth domains. The results in this paper fall into …

We study the local regularity of p-caloric functions or more generally of φ-caloric functions. In
particular, we study local solutions of non-linear parabolic systems with homogeneous right …

We study the symmetric stochastic p-Stokes system, p∈(1,∞), in a bounded domain. The
results are two-fold: First, we show that in the context of analytically weak solutions, the …

Long-time and large-data existence of weak solutions for initial-and boundary-value
problems concerning three-dimensional flows of incompressible fluids is nowadays …

We consider a model of steady, incompressible non-Newtonian flow with neglected
convective term under external forcing. Our structural assumptions allow for certain …

We prove regularity estimates for time derivatives of a large class of nonlinear parabolic
partial differential systems. This includes the instationary (symmetric) p-Laplace system and …

We prove partial regularity for minimizers to elasticity type energies with p-growth, p> 1, in a
geometrically linear framework in dimension n≥ 3. Therefore, the energies we consider …

We consider energy solutions of the inhomogeneous parabolic p-Laplacian system∂ tu− div
(| D u| p− 2 D u)=− div g. We show in the case p⩾ 2 that if the right hand side g is locally in …