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.
               
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