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

•
• Overview
•
• Research
•
• View All
•

### 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