On the Regularity of Weak Solutions of Elliptic Systems in Banach Spaces

Marina Borovikova and Rüdiger Landes ()
Additional contact information
Marina Borovikova: The University of Oklahoma, Department of Mathematics
Rüdiger Landes: The University of Oklahoma, Department of Mathematics

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 207-217 from Springer

Abstract: Abstract On a domain Ω⊂RN we consider weak solutions u: Ω→RMfor elliptic systems of the kind A(u) + B(u) = f. Here A(u) is a quasilinear elliptic operator of second order satisfying certain structure conditions and B(u) is a perturbation with critical growth in the gradient, i.e. the growth exponent for the gradient p, 1

Keywords: Banach Space; Weak Solution; Elliptic System; Holder Inequality; Quasilinear Elliptic System (search for similar items in EconPapers)
Date: 2003
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

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:sprchp:978-3-0348-8035-0_10

Ordering information: This item can be ordered from
http://www.springer.com/9783034880350

DOI: 10.1007/978-3-0348-8035-0_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().