Recent developments in problems with nonstandard growth and nonuniform ellipticity -
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We consider nonuniformly elliptic variational problems and give optimal conditions
guaranteeing the local Lipschitz regularity of solutions in terms of the regularity of the given …

Pointwise gradient bounds via Riesz potentials, such as those available for the linear
Poisson equation, actually hold for general quasilinear degenerate equations of p …

We prove new potential and nonlinear potential pointwise gradient estimates for solutions to
measure data problems, involving possibly degenerate quasilinear operators whose …

The Lipschitz continuity of solutions to Dirichlet and Neumann problems for nonlinear elliptic
equations, including the p-Laplace equation, is established under minimal integrability …

Gradient boundedness up to the boundary for solutions to Dirichlet and Neumann problems
for elliptic systems with Uhlenbeck type structure is established. Nonlinearities of possibly …

A sharp estimate for the decreasing rearrangement of the length of the gradient of solutions
to a class of nonlinear Dirichlet and Neumann elliptic boundary value problems is …

We investigate the boundary regularity of minimizers of convex integral functionals with
nonstandard p, q-growth and with Uhlenbeck structure. We consider arbitrary convex …

We prove BMO estimates of the inhomogeneous p-Laplace system given by− div (|∇ u| p−
2∇ u)= divf. We show that f∈ BMO implies|∇ u| p− 2∇ u∈ BMO, which is the limiting case …

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