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

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Foss M., di Napoli A., Verde A.

Applicationes Mathematicae

2008

tom 35

nr 3

335-353

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 $u ↦ ∫_{Ω} g(x,u(x),∇u(x)) dx$. 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 result.

Ograniczanie wyników

1 Applicationes Mathematicae

1 Foss M.

1 Verde A.

1 di Napoli A.

1 2008

Wyniki wyszukiwania

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