# Existence of classical solutions of quasi-linear non-cooperative elliptic systems

Existence of classical solutions of quasi-linear non-cooperative elliptic systems Method of sub- and super-solutions is applied in investigation of solvability in classical $$C^2(\Omega ) \bigcap C(\overline{\Omega })$$ C 2 ( Ω ) ⋂ C ( Ω ¯ ) sense of quasi-linear non-cooperative weakly coupled systems of elliptic second-order PDE. The result is illustrated on a model example arising in differential geometry. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Pseudo-Differential Operators and Applications Springer Journals

# Existence of classical solutions of quasi-linear non-cooperative elliptic systems

, Volume 8 (3) – Jul 23, 2016
11 pages

/lp/springer_journal/existence-of-classical-solutions-of-quasi-linear-non-cooperative-tW0GOVjGeJ
Publisher
Springer International Publishing
Subject
Mathematics; Analysis; Operator Theory; Partial Differential Equations; Functional Analysis; Applications of Mathematics; Algebra
ISSN
1662-9981
eISSN
1662-999X
D.O.I.
10.1007/s11868-016-0167-7
Publisher site
See Article on Publisher Site

### Abstract

Method of sub- and super-solutions is applied in investigation of solvability in classical $$C^2(\Omega ) \bigcap C(\overline{\Omega })$$ C 2 ( Ω ) ⋂ C ( Ω ¯ ) sense of quasi-linear non-cooperative weakly coupled systems of elliptic second-order PDE. The result is illustrated on a model example arising in differential geometry.

### Journal

Journal of Pseudo-Differential Operators and ApplicationsSpringer Journals

Published: Jul 23, 2016

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