Geodesic
Monotonicity Conditions for a Class of Quasilinear Differential Operators Depending on Parameters
Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 405-417.

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A special class of quasilinear differential operators depending on a finite number of parameters is introduced and necessary and sufficient monotonicity conditions for such operators are found.
Keywords: quasilinear differential operator, monotonicity conditions for a differential operator, Lipschitz boundary, conditional extremum problem.
Mots-clés : Lebesgue space 
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G. I. Laptev. Monotonicity Conditions for a Class of Quasilinear Differential Operators Depending on Parameters. Matematičeskie zametki, Tome 96 (2014) no. 3, pp. 405-417. http://geodesic.mathdoc.fr/item/MZM_2014_96_3_a9/

[1] Zh.-L. Lions, Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972 | MR | Zbl

[2] I. V. Skrypnik, Metody issledovaniya nelineinykh ellipticheskikh granichnykh zadach, Nauka, M., 1990 | MR | Zbl

[3] Kh. Gaevskii, K. Greger, K. Zakharias, Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR

[4] A. Kufner, S. Fuchik, Nelineinye differentsialnye uravneniya, Nauka, M., 1988 | MR | Zbl

[5] G. I. Laptev, “Usloviya monotonnosti operatorov Nemytskogo so stepennymi nelineinostyami”, Uch. zap. Rossiiskogo gos. sots. un-ta, no. 7, 2009, 223–228