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

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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.

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

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Lopushans’ka, H.P. Generalized boundary values of solutions of quasilinear elliptic equations with linear principal part. Ukr Math J 59, 1885–1901 (2007). https://doi.org/10.1007/s11253-008-0032-9

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  • DOI: https://doi.org/10.1007/s11253-008-0032-9

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