Article ID Journal Published Year Pages File Type
4612755 Journal of Differential Equations 2009 33 Pages PDF
Abstract

We prove some global Morrey regularity results for almost minimizers of functionals of the formu↦∫Ωf(x,∇u)dx. This regularity is valid up to the boundary, provided the boundary data is sufficiently regular. The main assumption on f is that for each x  , the function f(x,⋅)f(x,⋅) behaves asymptotically like a convex function with (p,q)(p,q) growth. Some discontinuous behavior in the first argument is allowed. As a main application, we establish analogous regularity results for a broad class of systems of nonhomogeneous partial differential equations.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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