Singularities to nonlinear elliptic boundary value problems

Анотація

The solvability of a nonlinear boundary value problem for the 2m-order elliptic equation Au=μ|u|^q (q>0, μ∈L_∞) in a bounded domain with given generalized functions with strong power singularities on the frontier and the character of behavior of a solution in a vicinity of points of singularity of boundary data is established.