3 papers
math.AP2026
Normalized solutions to a class of Kirchhoff type equations with a logarithmic perturbation
Qi Li, Wenshu Zhou, Yuzhu Han
This paper is devoted to the study of normalized solutions to the Kirchhoff type equation with a logarithmic perturbation\[-\left(a+b\int_{\mathbb{R}^3}|\nabla u|^2 \,\mathrm{d}x \…
math.AP2025
Existence of nontrivial solutions to a critical Kirchhoff equation with a logarithmic type perturbation in dimension four
Qian Zhang, Yuzhu Han
In this paper, a critical Kirchhoff equation with a logarithmic type subcritical term is considered in a bounded domain in . We view this problem as a critical ellipt…
math.AP2025
Mountain pass solution to the Brézis-Nirenberg problem with logarithmic perturbation
Q. Zhang, Y. Z. Han
In this paper we give a positive answer to the conjecture raised by Hajaiej et al. (J. Geom. Anal., 2024, 34(6): No. 182, 44 pp) on the existence of a mountain pass solution at pos…