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math.AP2023
Sign-changing solution for logarithmic elliptic equations with critical exponent
Tianhao Liu, Wenming Zou
In this paper, we consider the logarithmic elliptic equations with critical exponent \begin{equation} \begin{cases} -Δu=λu+ |u|^{2^*-2}u+θu\log u^2, \\ u \in H_0^1(Ω), \quad Ω\subs…
math.AP2023
Positive solution for an elliptic system with critical exponent and logarithmic terms
Hichem Hajaiej, Tianhao Liu, Linjie Song +1
In this paper, we study the existence and nonexistence of positive solutions for a coupled elliptic system with critical exponent and logarithmic terms. The presence of the the log…