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math.AP2026
Uniqueness and nondegeneracy of positive solutions to elliptic equations with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we study the uniqueness of positive solutions to the semilinear elliptic Robin problem $$ \begin{cases} -Îu = u^p, & \text{in } Ω,\\ u > 0, & \text{in } Ω,\\ \fra…
math.AP2026
Asymptotic behavior of solutions to elliptic problems with Robin boundary conditions
Mengyao Chen, Massimo Grossi, Qi Li
In this paper, we investigate the asymptotic behavior, as , of positive solutions to the semilinear elliptic Robin problem \begin{equation*} \begin{cases} -Îu = u^p, & \t…
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 \…