Abstract
Method of sub- and super-solutions is applied in investigation of solvability in classical \(C^2(\Omega ) \bigcap C(\overline{\Omega })\) 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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Popivanov, P., Boyadzhiev, G. & Markov, Y. Existence of classical solutions of quasi-linear non-cooperative elliptic systems. J. Pseudo-Differ. Oper. Appl. 8, 521–531 (2017). https://doi.org/10.1007/s11868-016-0167-7
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DOI: https://doi.org/10.1007/s11868-016-0167-7