collaborators

4 papers

math.AP2026

Sharp homogeneous Gagliardo--Nirenberg inequalities with applications to normalized solutions for a generalized MMT-type equation

Amin Esfahani, Mukhtar Karazym

In this paper, we prove the existence of optimizers for a class of sharp homogeneous Gagliardo--Nirenberg inequalities, extending the result of Bellazzini, Frank, and Visciglia \ci…

math.AP2026

Traveling Waves for Nonlocal Derivative Nonlinear Schrödinger Equations: A Variational Characterization

Amin Esfahani, Adilbek Kairzhan, Mukhtar Karazym

We establish several existence results for traveling-wave solutions of the nonlocal derivative nonlinear Schrödinger equation with general coefficients by variational methods. We…

math.AP2025

Variational eigenvalues of the subelliptic -Laplacian

Mukhtar Karazym

We use the Lusternik-Schnirelman theory to prove the existence of a nondecreasing sequence of variational eigenvalues for the subelliptic -Laplacian subject to the Dirichlet bou…

math.AP2025

Subelliptic -Laplacian spectral problem for Hörmander vector fields

Mukhtar Karazym, Durvudkhan Suragan

Based on variational methods, we study the spectral problem for the subelliptic -Laplacian arising from smooth Hörmander vector fields. We derive the smallest eigenvalue, prove…