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

Mikil Foss, Antonia Passarelli di Napoli, and Anna Verde. "Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals." Applicationes Mathematicae 35.3 (2008): 335-353. <http://eudml.org/doc/279885>.

@article{MikilFoss2008,
abstract = {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.},
author = {Mikil Foss, Antonia Passarelli di Napoli, Anna Verde},
journal = {Applicationes Mathematicae},
keywords = {Morrey regularity; asymptotic convexity; almost minimizers},
language = {eng},
number = {3},
pages = {335-353},
title = {Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals},
url = {http://eudml.org/doc/279885},
volume = {35},
year = {2008},
}

TY - JOUR
AU - Mikil Foss
AU - Antonia Passarelli di Napoli
AU - Anna Verde
TI - Morrey regularity and continuity results for almost minimizers of asymptotically convex integrals
JO - Applicationes Mathematicae
PY - 2008
VL - 35
IS - 3
SP - 335
EP - 353
AB - 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.
LA - eng
KW - Morrey regularity; asymptotic convexity; almost minimizers
UR - http://eudml.org/doc/279885
ER -