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作者:Lang Li , Lingyu Jin , Shaomei Fang
来源:[J].Boundary Value Problems(IF 0.922), 2017, Vol.2017 (1), pp.1-16Springer
摘要:Abstract(#br)In this paper, we consider the fractional Ginzburg-Landau equations near the Bardeen-Cooper-Schrieffer-Bose-Einstein-condensate (BCS-BEC) crossover of atomic Fermi gases. This fractional Ginzburg-Landau equations can be viewed as a generalization of the integral diff...
作者:Lingyu Jin , Lang Li
来源:[J].Boundary Value Problems(IF 0.922), 2015, Vol.2015 (1), pp.1-27Springer
摘要:Abstract(#br)In this paper, we are concerned with a nonlinear p -Laplace equation with critical Sobolev-Hardy exponents and Robin boundary conditions. Through a compactness analysis of the functional corresponding to the problem, we obtain the existence of positive solutions for ...
作者:Lingyu Jin , Changping Xie
来源:[J].Advances in Difference Equations(IF 0.76), 2015, Vol.2015 (1), pp.1-15Springer
摘要:Abstract(#br)In this paper, we consider the fractional modified Zakharov system with a quantum correction. This system can be regarded as a generalization of the Garcia model to the fractional order. By the properties of the fractional Sobolev spaces and a priori estimates, we ov...
作者:Lang Li , Lingyu Jin , Shaomei Fang
来源:[J].Advances in Difference Equations(IF 0.76), 2015, Vol.2015 (1), pp.1-14Springer
摘要:Abstract(#br)In this paper, we consider the initial boundary value problem for a coupled fractional diffusion system. By using eigenfunction expansions and a priori estimates, we establish the existence and uniqueness of the weak solution and then the regularity of the solution.
作者:Lingyu Jin , Lang Li , Shaomei Fang
来源:[J].Computers and Mathematics with Applications(IF 2.069), 2017Elsevier
摘要:Abstract(#br)We consider the Cauchy problem of fractional pseudo-parabolic equation on the whole space R n , n ≥ 1 . Here, the fractional order α is related to the diffusion-type source term behaving as the usual diffusion term on the high frequency part. It has a feature of...
作者:Yinbin Deng , Lingyu Jin , Shuangjie Peng
来源:[J].Journal of Differential Equations(IF 1.48), 2012, Vol.253 (5), pp.1376-1398Elsevier
摘要:Abstract(#br)In this paper, we are concerned with the following nonlinear Schrödinger equations with inverse square potential and critical Sobolev exponent ( P ) − Δ u − μ u | x | 2 + a ( x ) u = | u | 2 ⁎ − 2 u + f ( x , u ) , u ∈ H 1 ( R...
作者:Yinbin Deng , Lingyu Jin
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2006, Vol.329 (1), pp.603-616Elsevier
摘要:Abstract(#br)This paper is concerned with the existence of the nontrivial solutions of the following problem: { − Δ u = μ u | x | 2 + K ( x ) u 2 ∗ ( s ) − 1 | x | s , x ∈ R n , u ∈ D G 1 , 2 ( R n ) , where n > 2 , K ( x ) is a bounded, continuous function satisfy...
作者:Yinbin Deng , Lingyu Jin
来源:[J].Nonlinear Analysis(IF 1.64), 2006, Vol.67 (12), pp.3261-3275Elsevier
摘要:Abstract(#br)In this paper, we study the existence, nonexistence and multiplicity of positive solutions for nonhomogeneous Neumann boundary value problems of the type { − Δ p u + λ u p − 1 = u q | x | s x ∈ Ω , u > 0 x ∈ Ω , | ∇ u | p − 2 D γ u = ϕ x ∈ ∂ ...
作者:Shaomei Fang , Lingyu Jin , Boling Guo
来源:[J].Nonlinear Analysis(IF 1.64), 2010, Vol.72 (11), pp.4063-4070Elsevier
摘要:Abstract(#br)In this paper, we investigate the time-dependent Ginzburg–Landau (TDGL) equations coming from the superfluid atomic Fermi gases near the Feshbach resonance from the fermion–boson model. By the method of a priori estimates, we get the existence of global attracto...
作者:Yinbin Deng , Lingyu Jin
来源:[J].Nonlinear Analysis(IF 1.64), 2007, Vol.69 (7), pp.1953-1965Elsevier
摘要:Abstract(#br)The purpose of this paper is to establish the exponential decay properties of the solutions for the nonlinear multiharmonic equation { ( − Δ ) K u + a ( x ) u = g ( x , u ) , u ∈ H K ( R N ) ⋂ C 2 K ( R N ) , where the condition u ∈ H K ( R N ) plays the ro...

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