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• # Artykuł - szczegóły

## Applicationes Mathematicae

2008 | 35 | 3 | 335-353

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

EN

### Abstrakty

EN
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.

335-353

wydano
2008

### Twórcy

autor
• Department of Mathematics, University of Nebraska-Lincoln, 203 Avery Hall, Lincoln, NE 68588-0130, U.S.A.
• Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy
autor
• Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy