2 citations · 3 across the 9 of their papers we have counts for
9 papers
The best constant in the G-N inequality for the mixed local and Nonlocal Laplacian
Hichem Hajaiej, Yu Su
In this paper, we establish the best constant in the G-N inequality for the mixed local and nonlocal Laplacian. In our problem, classical methods cannot apply directly since regula…
Mixed-dispersion Schrödinger equations and Gagliardo-Nirenberg inequalities: equivalence between ground states and optimizers
Zhisu Liu, Giulio Romani, Yu Su
We study a nonlinear Schrödinger equation with mixed dispersion in the mass competition regime, namely mass-supercritical for the Laplacian and mass-subcritical for the Bilaplacian…
Explicit Formula Of The Critical Mass And The Energy Ground State Solution For The Mixed Local-Nonlocal Schrodinger Equation For The In-Between Critical Exponents Case
Yu Su, Hichem Hajaiej
Our first main contribution consists in establishing an explicit formula of the critical mass via the best constant of the Gagliardo-Nirenberg inequality for the mixed local-nonloc…
Ground State Solutions For Local-Nonlocal Shrodinger Equations In the Presence Of Two Critical Exponents
Yu Su, Hichem Hajaiej, Hongxia Shi
In this paper, we address the existence of ground state solutions for Schrodinger equations in the presence of local and nonlocal operators and two critical nonlinearities associat…
The minimizing problem involving p--Laplacian and Hardy--Littlewood--Sobolev upper critical exponent
Yu Su, Haibo Chen
In this paper, we study the minimizing problem: $$ S_{p,1,α,μ}:= \inf_{u\in W^{1,p}(\mathbb{R}^{N})\setminus\{0\}} \frac{ \int_{\mathbb{R}^{N}}|\nabla u|^{p}\mathrm{d}x - μ\int_{\m…
Finite many critical problems involving Fractional Laplacians in
Yu Su, Haibi Chen
In this paper, we consider the nonlocal elliptic problems in , which involve finite many critical exponents. By using endpoint refined Hardy--Sobolev inequality, fr…
Elliptic problem involving finite many critical exponents in
Yu Su, Haibo Chen
In this paper, we consider the following problem $$ -Δu -ζ\frac{u}{|x|^{2}} = \sum_{i=1}^{k} \left( \int_{\mathbb{R}^{N}} \frac{|u|^{2^{*}_{α_{i}}}}{|x-y|^{α_{i}}} \mathrm{d}y \rig…
Fractional Elliptic problem with Finite many critical Hardy--Sobolev Exponents
Yu Su, Haibo Chen
In this paper, we consider the following problem: $$ (-Δ)^{s} u -\frac{ζu}{|x|^{2s}} = \sum_{i=1}^{k} \frac{|u|^{2^{*}_{s,θ_{i}}-2}u} {|x|^{θ_{i}}} , \mathrm{~in~} \mathbb{R}^{N},…
Next order energy asymptotics for Riesz potentials on flat tori
Douglas P. Hardin, Edward B. Saff, Brian Z. Simanek +1
Let be a lattice in with positive co-volume. Among -periodic -point configurations, we consider the minimal renormalized Riesz -energy $\mathcal{E}_{s,Λ}(N…