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

• Autorzy: Mikil Foss , Antonia Passarelli di Napoli , Anna Verde
• Języki publikacji: 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.

Kategorie tematyczne

• 49N60: Regularity of solutions
• 35B65: Smoothness and regularity of solutions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2008
• Tom: 35
• Numer: 3
• Strony: 335-353

Daty

wydano

2008

Twórcy

autor

Mikil Foss

• Department of Mathematics, University of Nebraska-Lincoln, 203 Avery Hall, Lincoln, NE 68588-0130, U.S.A.

autor

Antonia Passarelli di Napoli

• Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy

autor

Anna Verde

• Dipartimento di Matematica "R. Caccioppoli", Università di Napoli "Federico II", Via Cintia, 80126 Napoli, Italy

Identyfikatory

DOI

10.4064/am35-3-6