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