83 citations · 189 across the 19 of their papers we have counts for
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Uniqueness of positive solutions to fractional nonlinear elliptic equations with harmonic potential
Tianxiang Gou, Vicentiu D. Radulescu
In this paper, we establish the uniqueness of positive solutions to the following fractional nonlinear elliptic equation with harmonic potential \begin{align*} (-Δ)^s u+ \left(ω+|x…
Blow-up of cylindrically symmetric solutions for Fractional NLS
Tianxiang Gou, Vicentiu D. Radulescu, Zhitao Zhang
In this paper, we consider blow-up of solutions to the Cauchy problem for the following fractional NLS, $$ \textnormal{i} \, \partial_t u=(-Δ)^s u-|u|^{2 σ} u \quad \text{in} \,\,…
Harnack inequality for doubly nonlinear mixed local and nonlocal parabolic equations
Vicentiu Radulescu, Bin Shang, Chao Zhang
In this paper, we establish the Harnack inequality of nonnegative weak solutions to the doubly nonlinear mixed local and nonlocal parabolic equations. This result is obtained by co…
Asymptotic behavior of solutions for a critical heat equation with nonlocal reaction
Jian Zhang, Jacques Giacomoni, Vicentiu Radulescu +1
In this paper, we consider the following nonlocal parabolic equation \begin{equation*} u_{t}-Δu=\left( \int_Ω\frac{|u(y,t)|^{2^{\ast}_μ}}{|x-y|^μ}dy\right) |u|^{2^{\ast}_μ-2}u,\ \t…