Local Boundedness of Minimizers with Limit Growth Conditions

Giovanni Cupini (), Paolo Marcellini () and Elvira Mascolo ()
Additional contact information
Giovanni Cupini: Università di Bologna
Paolo Marcellini: Università di Firenze
Elvira Mascolo: Università di Firenze

Journal of Optimization Theory and Applications, 2015, vol. 166, issue 1, No 1, 22 pages

Abstract: Abstract The energy integral of the calculus of variations, which we consider in this paper, has a limit behavior when the maximum exponent $$q$$ q , in the growth estimate of the integrand, reaches a threshold. In fact, if $$q$$ q is larger than this threshold, counterexamples to the local boundedness and regularity of minimizers are known. In this paper, we prove the local boundedness of minimizers (and also of quasi-minimizers) under this stated limit condition. Some other general and limit growth conditions are also considered.

Keywords: Quasi-minimizer; Anisotropic growth conditions; Local boundedness; Non-coercive functional; 49N60; 35J60; 35J25 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-015-0722-z Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:166:y:2015:i:1:d:10.1007_s10957-015-0722-z

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-015-0722-z

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().