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 consider the Griffith fracture model in two spatial dimensions, and prove existence of
strong minimizers, with closed jump set and continuously differentiable deformation fields …

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 …

Existence Theory for Generalized Newtonian Fluids provides a rigorous mathematical
treatment of the existence of weak solutions to generalized Navier-Stokes equations …

A generalized elliptic equation with nonstandard growth in a nonsmooth bounded domain is
studied. A global nonlinear gradient estimate is obtained in the frame of Orlicz spaces under …

We study interior regularity of solutions of a generalized stationary Stokes problem in the
plane. The main, elliptic part of the problem is given in the form div (A (D u)) div (A (D u)) …

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 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 weak solutions (u, π): Ω→ ℝ n× ℝ to stationary ϕ-Navier-Stokes systems of the
type− div a (x, E u)+∇ π+[D u] u= f div u= 0 in Ω⊂ ℝ n, and to the corresponding ϕ-Stokes …