8 citations · 22 across the 10 of their papers we have counts for
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Two Positive Normalized Solutions on Star-shaped Bounded Domains to the Brézis-Nirenberg Problem, I: Existence
Linjie Song, Wenming Zou
We develop a new framework to prove the existence of two positive solutions with prescribed mass on star-shaped bounded domains: one is the normalized ground state and another is o…
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…
Existence and asymptotics of normalized solutions for logarithmic Schrödinger system
Qian Zhang, Wenming Zou
This paper is concerned with the following logarithmic Schrödinger system: $$\left\{\begin{align} \ &\ -Δu_1+ω_1u_1=μ_1 u_1\log u_1^2+\frac{2p}{p+q}|u_2|^{q}|u_1|^{p-2}u_1,\\ \ &\…
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…
-Laplacian problems involving critical Hardy-Sobolev exponents
Kanishka Perera, Wenming Zou
We prove existence, multiplicity, and bifurcation results for -Laplacian problems involving critical Hardy-Sobolev exponents. Our results are mainly for the case and…
On finite Morse index solutions to the quadharmonic Lane-Emden equation
Senping Luo, Juncheng Wei, Wenming Zou
In this paper, we compute the Joseph-Lundgren exponent for the quadharmonic Lane-Emden equation, derive a monotonicity formula and classify the finite Morse index solution to the f…