Composition operators on Sobolev spaces and Eigenvalues of Divergent Elliptic Operators Academic Article uri icon

abstract

  • We study spectral properties of the divergence form elliptic operators $-\textrm{div} [A(z) \nabla f(z)]$ with the Neumann boundary condition in (non)convex domains $\Omega \subset \mathbb C$. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincar\'e inequalities.

publication date

  • January 1, 2019