Vishik-Lyusternik method for elliptic boundary-value problems in domains with conical point. III. Problem with degeneracy at a conical point
[For part II see ibid. 22, 753-769 (1982); translation from Sib. Math. Zh. 22, 132-152 (1981; Zbl 0479.35033).] The author studies elliptic boundary value problems degenerating at a conical point of the boundary into a boundary value problem of lower order. A modified Vishik-Lyusternik method is used for the construction of a boundary layer which is induced by the degeneracy. The problem is formulated as an operator equation in certain weighted spaces. Necessary and sufficient conditions are given under which Noether theorems for the corresponding operator hold.
scientific article; zbMATH DE number 3953372
scientific article