Fredholm property for a parameter dependent second order operator differential equation.
Free boundary eigenfunctions for a nonlinear degenerate eigenvalue problem.
Fučík spectra for vector equations.
Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds
The paper deals with quarkonial decompositions and entropy numbers in weighted function spaces on hyperbolic manifolds. We use these results to develop a spectral theory of related Schrödinger operators in these hyperbolic worlds.
Function spaces of generalised smoothness [Book]
Fundamental solution, eigenvalue asymptotics and eigenfunctions of degenerate elliptic operators with positive potentials
We show a weighted version of Fefferman-Phong's inequality and apply it to give an estimate of fundamental solutions, eigenvalue asymptotics and exponential decay of eigenfunctions for certain degenerate elliptic operators of second order with positive potentials.
Fundamental Solutions and Eigenfunction Expansions for Schrödinger Operators . I. Fundamental Solutions.
Fundamental Solutions and Eigenfunction Expansions for Schrödinger Operators. II. Eigenfunction Expansions.