83 citations · 189 across the 19 of their papers we have counts for
19 papers
Fractional Morrey-Sobolev type embeddings and nonlocal subelliptic problems with oscillating nonlinearities on stratified Lie groups
Sekhar Ghosh, Tianxiang Gou, Vishvesh Kumar +1
In this paper, we establish the fractional Morrey-Sobolev type embeddings on stratified Lie groups. This extends and complements the Sobolev type embeddings derived in \cite{GKR}.…
Another look at quasilinear Schrödinger equations with prescribed mass via dual method
Jianhua Chen, Vicentiu D. Radulescu, Jijiang Sun +1
In this paper, we aim to study the existence of ground state normalized solutions for the following quasilinear Schrödinger equation , under the…
Solutions with prescribed mass for -supercritical NLS equations under Neumann boundary conditions
Xiaojun Chang, Vicenţiu D. Rădulescu, Yuxuan Zhang
In this paper, we investigate the following nonlinear Schrödinger equation with Neumann boundary conditions: \begin{equation*} \begin{cases} -Δu+ λu= f(u) & {\rm in} \,~ Ω,\\ \disp…
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…