On the character of nonlinearity discontinuities in eigenvalue problems for elliptic equations

Abstract

The eigenvalue problems for equations of elliptic type with discontinuous by the phase variable nonlinearities are considered. The character of nonlinearity discontinuities is investigated. In this paper the restrictions on discontinuity points of nonlinearity are weaker than in works of other authors.

Keywords

• boundary value problems
• elliptic equations
• eigenvalue problems
• discontinuous nonlinearity
• character of discontinuities