2 papers
math.AP2025
Qualitative properties of positive solutions to mixed local and nonlocal critical problems in
Xifeng Su, Shasha Xu
We consider the following mixed local and non-local critical elliptic equation: \begin{equation*}\label{0.1} \left\{ \begin{array}{lll} -Δu+(-Δ)^su=λh u^{p}+u^{2^*-1}, &\text{in}\,…
math.AP2023
Monotonicity of positive solutions for an indefinite logarithmic Laplacian equation
Baiyu Liu, Shasha Xu
In this paper, we investigate a nonlocal equation involving the logarithmic Laplacian with indefinite nonlinearities: \begin{equation*} \left\{ \begin{array}{ll} L_Δu(x)=a(x_n)f(u)…