9 papers · 1 filter
Qualitative properties of blowing-up solutions of nonlinear elliptic equations with critical Sobolev exponent
Minbo Yang, Shunneng Zhao
In this paper, we are concerned with the critical elliptic equation \begin{equation}\label{kx} \left\lbrace\begin{aligned} &-Δu=u^{p}+εκ(x)u^{q}\quad\hspace{2mm} \mbox{in}~~Ω, \\&u…
Compactness of Extremals for Singular Anisotropic Trudinger-Moser functionals on bounded domain
Weiwei Shan, Minbo Yang, Jiazheng Zhou
In this paper, we investigate the compactness of extremal functions for a critical singular anisotropic Trudinger-Moser inequality established by Lu-Shen-Xue-Zhu\cite{ref1}. We pro…
Qualitative properties of single blow-up solutions for nonlinear Hartree equation with slightly subcritical exponent
Alessandro Cannone, Silvia Cingolani, Minbo Yang +1
In this paper, we study the qualitative properties of single blow-up solutions to the nonlocal equations with slightly subcritical exponents \begin{equation*} -Δu=(|x|^{-(n-2)}\ast…
Asymptotic behavior of least energy solutions to the nonlinear Hartree equation near critical exponent
Silvia Cingolani, Minbo Yang, Shunneng Zhao
In this paper, we study that the nearly critical nonlocal problem \begin{equation*} \left\lbrace \begin{aligned} &-Δu=(|x|^{-{(n-2)}}\ast u^{p-ε})u^{p-1-ε} \quad \mbox{in}\quad Ω,…
Nondegeneracy of positive solutions for critical Hartree equation on Heisenberg group and it's applications
Minbo Yang, Shuijin Zhang
We study the uniqueness and nondegeneracy of positive bubble solutions for the generalized energy-critical Hartree equation on the Heisenberg group , \begin{equatio…
Lipschitz regularity of weakly coupled vectorial almost-minimizers for Alt-Caffarelli functionals in Orlicz spaces
Pedro Fellype Pontes, João Vitor da Silva, Minbo Yang
For a fixed constant and a bounded Lipschitz domain with , we establish that almost-minimizers (functions satisfying a sort of variational…
Asymptotic behavior of solutions to critical Hartree equations with isolated singularities
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We investigate the qualitative properties of positive classical solutions to critical Hartree equations on punctured domains, assuming that as . For the…
Remainder terms, profile decomposition and sharp quantitative stability in the fractional nonlocal Sobolev-type inequality with
Qikai Lu, Minbo Yang, Shunneng Zhao
In this paper, we study the following fractional nonlocal Sobolev-type inequality \begin{equation*} C_{HLS}\bigg(\int_{\mathbb{R}^n}\big(|x|^{-μ} \ast |u|^{p_s}\big)|u|^{p_s} dx\bi…
Stability estimates for critical points of a nonlocal Sobolev-type inequality
Minbo Yang, Shunneng Zhao
In this paper, we study the stability of the following nonlocal Soblev-type inequality \begin{equation*} C_{HLS}\big(\int_{\mathbb{R}^n}\big(|x|^{-μ} \ast u^{p}\big)u^{p} dx\big)^{…