CORE
🇺🇦Â
 make metadata, not war
Services
Services overview
Explore all CORE services
Access to raw data
API
Dataset
FastSync
Content discovery
Recommender
Discovery
OAI identifiers
OAI Resolver
Managing content
Dashboard
Bespoke contracts
Consultancy services
Support us
Support us
Membership
Sponsorship
Community governance
Advisory Board
Board of supporters
Research network
About
About us
Our mission
Team
Blog
FAQs
Contact us
research
Existence of Minimizers for Non-Level Convex Supremal Functionals
Authors
Ana Margarida Ribeiro
Elvira Zappale
Publication date
15 August 2013
Publisher
Doi
Cite
View
on
arXiv
Abstract
The paper is devoted to determine necessary and sufficient conditions for existence of solutions to the problem
i
n
f
e
s
s
s
u
p
x
∈
Ω
f
(
∇
u
(
x
)
)
:
u
∈
u
0
+
W
0
1
,
∞
(
Ω
)
{\rm inf}{{\rm ess sup}_{x \in \Omega} f(\nabla u(x)): u \in u_0 + W^{1,\infty}_0(\Omega)}
inf
esssup
x
∈
Ω
​
f
(
∇
u
(
x
))
:
u
∈
u
0
​
+
W
0
1
,
∞
​
(
Ω
)
when the supremand
f
f
f
is not necessarily level convex. These conditions are obtained through a comparison with the related level convex problem and are written in terms of a differential inclusion involving the boundary datum. Several conditions of convexity for the supremand
f
f
f
are also investigated
Similar works
Full text
Available Versions
Archivio della ricerca- Università di Roma La Sapienza
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:iris.uniroma1.it:11573/145...
Last time updated on 18/11/2021
Archivio della Ricerca - Università di Salerno
See this paper in CORE
Go to the repository landing page
Download from data provider
oai:www.iris.unisa.it:11386/43...
Last time updated on 12/11/2016