Holder continuity of solutions for a class of nonlinear elliptic variational inequalities of high order

Hölder Continuity up to the Boundary of Minimizers for Some Integral Functionals with Degenerate Integrands

We study qualitative properties of minimizers for a class of integral functionals, defined in a weighted space. In particular we obtain Hölder regularity up to the boundary for the minimizers of an integral functional of high order by using an interior local regularity result and a modified Moser method with special test function.

On regularity up to the boundary of solutions to a system of degenerate nonlinear elliptic fourth-order equations

Under some hypotheses on weighted functions, using the interior regularity results established in (Kovalevsky, A. and Nicolosi, F., 2005, Existence and regularity of solutions to a system of degenerate nonlinear fourth-order equations. Nonlinear Analysis, 61, 281–307) and estimating the oscillation of solutions near the boundary of Ω, we establish results on regularity up to the boundary of a solutions of the system (1.1).

The local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations withL1-data

We prove local boundedness of solutions for a class of degenerate nonlinear elliptic higher-order equations with L(1)-data.

Control of essential supremum of solutions of quasilinear degenerate parabolic equations

Sufficient conditions are obtained so that a weak subsolution of a class of quasilinear degenerate parabolic equations, bounded from above on theparabolic boundary of the cylinder Q, turns out to be bounded from above in Q.