We describe some aspects of the process/approach to interior regularity of weak solutions to
a class of nonlinear elliptic equations in divergence form, as well as of minimizers of …

Anisotropic and inhomogeneous spaces, which are at the core of the present study, may
appear exotic at first. However, the reader should abandon this impression once they realize …

We show how to infer sharp partial regularity results for relaxed minimizers of degenerate,
nonuniformly elliptic quasiconvex functionals, using tools from Nonlinear Potential Theory. In …

We study local regularity properties of local minimizers of scalar integral functionals of the
form ℱ⁢[u]:=∫ Ω F⁢(∇⁡ u)-f⁢ u⁢ d⁢ x where the convex integrand F satisfies controlled (p …

We establish sharp global regularity results for solutions to nonhomogeneous, nonuniformly
elliptic systems with zero boundary conditions imposed only on some part of the boundary of …

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

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We prove global W 1, q (Ω, RN)-regularity for minimisers of F (u)=∫ Ω F (x, D u) dx satisfying
u≥ ψ for a given Sobolev obstacle ψ. W 1, q (Ω, RN) regularity is also proven for minimisers …

We consider autonomous integral functionals of the form:= ∫ _\varOmega f (D u)\, dx\quad
where u:\varOmega → R^ N, N ≥ 1, F u:=∫ Ω f (D u) dx where u: Ω→ RN, N≥ 1, where the …

We study local regularity properties of local minimizer of scalar integral functionals with
controlled $(p, q) $-growth in the two-dimensional plane. We establish Lipschitz continuity …