Search Results - "Ao, Weiwei"
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Classification of finite Morse index solutions to the polyharmonic Hénon equation
Published in Calculus of variations and partial differential equations (2023)“…We present Liouville-type results for stable solutions and finite Morse index solutions of the polyharmonic Hénon elliptic equation ( - Δ ) m u = | x | a | u |…”
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Blow up solutions for Sinh-Gordon equation with residual mass
Published in Calculus of variations and partial differential equations (01-12-2022)“…We are concerned with the Sinh-Gordon equation in bounded domains. We construct blow up solutions with residual mass exhibiting either partial or asymmetric…”
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On the classification of solutions of cosmic strings equation
Published in Annali di matematica pura ed applicata (01-12-2019)“…In this paper, we prove some Liouville-type theorems for weak stable or finite Morse index solutions to the following equation: Δ u + e u + | x | α e β u = 0…”
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Periodic Maxwell–Chern–Simons vortices with concentrating property
Published in Mathematische annalen (01-12-2021)“…In order to study electrically and magnetically charged vortices in fractional quantum Hall effect and anyonic superconductivity, the Maxwell–Chern–Simons…”
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Multi-bubbling condensates for the Maxwell-Chern-Simons model
Published in Calculus of variations and partial differential equations (01-02-2022)“…We consider the elliptic system problems arising from the Maxwell-Chern-Simons model. In this system, there are two important parameters related to…”
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Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria
Published in Annali di matematica pura ed applicata (01-06-2021)“…We are concerned with wave equations associated with some Liouville-type problems on compact surfaces, focusing on sinh-Gordon equation and general Toda…”
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An optimal bound on the number of interior spike solutions for the Lin–Ni–Takagi problem
Published in Journal of functional analysis (01-10-2013)“…We consider the following singularly perturbed Neumann problemε2Δu−u+up=0in Ω,u>0in Ω,∂u∂ν=0on ∂Ω, where p is subcritical and Ω is a smooth and bounded domain…”
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8
Boundary Connected Sum of Escobar Manifolds
Published in The Journal of geometric analysis (01-12-2020)“…Let ( X 1 , g ¯ 1 ) and ( X 2 , g ¯ 2 ) be two compact Riemannian manifolds with boundary ( M 1 , g 1 ) and ( M 2 , g 2 ) , respectively. The Escobar problem…”
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On Toda system with Cartan matrix G_2
Published in Proceedings of the American Mathematical Society (01-08-2015)“…where \gamma _{i} ]]>> Toda system.]]>…”
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10
Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows
Published in Physica. D (01-06-2022)“…For the three dimensional axisymmetric Euler flow, we construct a family of solutions with multiple travelling vortex rings, with large speed of order…”
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Infinitely many positive solutions for nonlinear equations with non-symmetric potentials
Published in Calculus of variations and partial differential equations (01-11-2014)“…We consider the following nonlinear Schrödinger equation Δ u - ( 1 + δ V ) u + f ( u ) = 0 in R N , u > 0 in R N , u ∈ H 1 ( R N ) where V is a continuous…”
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12
Existence and stability of a spike in the central component for a consumer chain model in a two-dimensional domain
Published in Nonlinear analysis (01-08-2022)“…In this paper, we study a three-component consumer chain model which is based on Schnakenberg type kinetics in a two-dimensional domain. In the model there is…”
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On the Boundary Behavior for the Blow-up Solutions of the sinh-Gordon Equation and Rank N Toda Systems in Bounded Domains
Published in International mathematics research notices (04-12-2020)“…Abstract In this paper we are concerned with the blow-up analysis of two classes of problems in bounded domains arising in mathematical physics: sinh-Gordon…”
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14
New concentration phenomena for SU(3) Toda system
Published in Journal of Differential Equations (15-02-2014)“…In this paper, we consider the following SU(3) Toda system:(0.1){Δu1+2ρ2h1eu1−ρ2h2eu2=0in B1(0),Δu2+2ρ2h2eu2−ρ2h1eu1=0in B1(0),u1=u2=0on ∂B1(0), where ρ is a…”
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15
Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality
Published in Journal of functional analysis (01-06-2022)“…In this paper, we will consider the fractional Caffarelli-Kohn-Nirenberg inequalityΛ(∫Rn|u(x)|p|x|βpdx)2p≤∫Rn∫Rn(u(x)−u(y))2|x−y|n+2γ|x|α|y|αdydx where…”
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On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo–Pacard program
Published in Duke mathematical journal (15-11-2019)Get full text
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17
Bound state solutions for the supercritical fractional Schrödinger equation
Published in Nonlinear analysis (01-04-2020)“…We prove the existence of positive solutions for the supercritical nonlinear fractional Schrödinger equation (−Δ)su+V(x)u−up=0inRn, with u(x)→0 as |x|→+∞,…”
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18
Solutions without any symmetry for semilinear elliptic problems
Published in Journal of functional analysis (01-02-2016)“…We prove the existence of infinitely many solitary waves for the nonlinear Klein–Gordon or Schrödinger equationΔu−u+u3=0, in R2, which have finite energy and…”
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19
On spikes concentrating on line-segments to a semilinear Neumann problem
Published in Journal of Differential Equations (15-08-2011)“…We consider the following singularly perturbed Neumann problem − ε 2 Δ u + u − u p = 0 in Ω , u > 0 in Ω , ∂ u ∂ ν = 0 on ∂ Ω , where p is subcritical and Ω is…”
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20
Existence of positive weak solutions for fractional Lane–Emden equations with prescribed singular sets
Published in Calculus of variations and partial differential equations (01-12-2018)“…In this paper, we consider the problem of the existence of positive weak solutions of ( - Δ ) s u = u p in Ω u = 0 on R n \ Ω having prescribed isolated…”
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