Generalized boundary values of the solutions of semilinear elliptic equations from weighted functional spaces

• Date: 2009
• Main Authors: Lopushanskaya, G. P., Лопушанська, Г. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3035
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In weighted C-spaces, we establish the solvability of a boundary-value problem for a semilinear elliptic equation of order 2m in a bounded domain with generalized functions given on its boundary, strong power singularities at some points of the boundary, and finite orders of singularities on the ent...