2 citations · 3 across the 6 of their papers we have counts for
6 papers
On the Stein-Weiss inequalities and higher-order Caffarelli-Kohn-Nirenberg type inequalities: sharp constants, symmetry of extremal functions
Shengbing Deng, Xingliang Tian
In this paper, we first classify all radially symmetry solutions of the following weighted fourth-order equation \begin{equation*} Δ(|x|^{-γ}Δu)=|x|^γu^{\frac{N+4+3γ}{N-4-γ}},\quad…
Symmetry breaking of extremals for the high order Caffarelli-Kohn-Nirenberg type inequalities: the singular case
Shengbing Deng, Xingliang Tian
Let us consider the following Caffarelli-Kohn-Nirenberg type inequality \begin{equation}\label{nsckn} \int_{\mathbb{R}^N}|x|^{-β}|\mathrm{div} (|x|^α\nabla u)|^2 \mathrm{d}x \geq \…
Multiple blowing-up solutions for a slightly critical Lane-Emden system with non-power nonlinearity
Shengbing Deng, Fang Yu
In this paper, we study the following Lane-Emden system with nearly critical non-power nonlinearity \begin{eqnarray*} \left\{ \arraycolsep=1.5pt \begin{array}{lll} -Δu =\frac{|v|^{…
Normalized solutions for p-Laplacian equations with potential
Shengbing Deng, Qiaoran Wu
In this paper, we consider the existence of normalized solutions for the following -Laplacian equation \begin{equation*} \left\{\begin{array}{ll} -Δ_{p}u-V(x)\lvert u\rvert^{p-2…
Normalized solutions for -Laplacian equation with critical Sobolev exponent and mixed nonlinearities
Shengbing Deng, Qiaoran Wu
In this paper, we consider the existence and multiplicity of normalized solutions for the following -Laplacian critical equation \begin{align*} \left\{\begin{array}{ll} -Δ_{p}u=…
Sign changing bubble tower solutions to a slightly subcritical elliptic problem with non-power nonlinearity
Shengbing Deng, Fang Yu
We study the following elliptic problem involving slightly subcritical non-power nonlinearity $$\left\{\begin{array}{lll} -Δu =\frac{|u|^{2^*-2}u}{[\ln(e+|u|)]^ε}\ \ &{\rm in}\ Ω,…