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

• Date: 2007
• Main Authors: Lopushanskaya, G. P., Лопушанська, Г. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2007
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3421
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.