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Partial continuity for elliptic problems

Mikil Foss; Giuseppe Mingione — 2008

Annales de l'I.H.P. Analyse non linéaire

Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals

Mikil Foss; Antonia Passarelli di Napoli; Anna Verde — 2008

Applicationes Mathematicae

In a recent paper [Forum Math., 2008] the authors established some global, up to the boundary of a domain Ω ⊂ ℝⁿ, continuity and Morrey regularity results for almost minimizers of functionals of the form $u \mapsto \int_{Ω} g (x, u (x), \nabla u (x)) d x$ . The main assumptions for these results are that g is asymptotically convex and that it satisfies some growth conditions. In this article, we present a specialized but significant version of this general result. The primary purpose of this paper is provide several applications of this simplified...

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