3 papers
math.AP2026
Cone Minimax Principles for Non-Selfadjoint Operator Pencils
Yavdat Il'yasov, Nur Valeev
We propose a variational approach to principal spectral values of non-selfadjoint operator pencils , where the weight operator may be singu…
math.AP2026
Uniqueness of Ground State Solutions for a Defocusing Hartree Equation via Inverse Optimal Problems
Yavdat Il'yasov, Juntao Sun, Nur Valeev +1
We study a generalized defocusing Hartree equation with nonlocal exchange potential and repulsive Hartree--Fock interaction. Using an inverse optimal problem (IOP) approach, we pro…
math.AP2024
On finding bifurcations for non-variational elliptic systems by the extended quotients method
Yavdat Il'yasov
We develop a novel method for finding bifurcations for nonlinear systems of equations based on directly finding bifurcations through saddle points of extended quotients. The method…