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math.AP2025
Existence and multiplicity of normalized solutions for the quasi-linear Schrödinger equations with mixed nonlinearities
Qihan He, Hao Wang
In this paper, we study the existence and multiplicity of the normalized solutions to the following quasi-linear problem \begin{equation*} -Δu-Δ(|u|^2)u+λu=|u|^{p-2}u+τ|u|^{q-2}u,…
math.AP2025
Existence and multiplicity of positive solutions to a critical elliptic equation with logarithmic perturbation
Qihan He, Yiqing Pan
We consider the existence and multiplicity of positive solutions for the following critical problem with logarithmic term: \begin{equation*}\label{eq11}\left\{ \begin{array}{ll} -Δ…
math.AP2025
Positive solutions of critical Hardy-Hénon equations with logarithmic term
Qihan He, Wenxuan Liu, Yiqing Pan
We consider the existence, non-existence and multiplicity of positive solutions to the following critical Hardy-Hénon equation with logarithmic term \begin{equation*}\label{eq11}\l…