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. __________ Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 12, pp. 1674–1688, December, 2007.