2017
Том 69
№ 9

All Issues

Generalized boundary values of solutions of quasilinear elliptic equations with linear principal part

Lopushanskaya G. P.

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Abstract

We establish conditions for the nonlinear part of a quasilinear elliptic equation of order $2m$ with linear principal part under which a solution regular inside a domain and belonging to a certain weighted $L_1$-space takes boundary values in the space of generalized functions.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 12, pp 1885-1901.

Citation Example: Lopushanskaya G. P. Generalized boundary values of solutions of quasilinear elliptic equations with linear principal part // Ukr. Mat. Zh. - 2007. - 59, № 12. - pp. 1674–1688.

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