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

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Method of sub- and super-solutions is applied in investigation of solvability in classical $$C^2(\Omega ) \bigcap C(\overline{\Omega })$$C2(Ω)⋂C(Ω¯) sense of quasi-linear non-cooperative weakly coupled systems of elliptic second-order PDE. The… Click to show full abstract

Method of sub- and super-solutions is applied in investigation of solvability in classical $$C^2(\Omega ) \bigcap C(\overline{\Omega })$$C2(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.

Keywords: non cooperative; linear non; solutions quasi; classical solutions; quasi linear; existence classical

Journal Title: Journal of Pseudo-Differential Operators and Applications
Year Published: 2017

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