A5011362161- Advanced Mathematical Modeling in Engineering
- Nonlinear Partial Differential Equations
- Geotechnical Engineering and Underground Structures
- Seismic Waves and Analysis
- Spectral Theory in Mathematical Physics
- Nonlinear Differential Equations Analysis
- Geotechnical Engineering and Analysis
- Stability and Controllability of Differential Equations
- Seismic Performance and Analysis
- Numerical methods in inverse problems
- Geotechnical Engineering and Soil Mechanics
- Geometric Analysis and Curvature Flows
- Numerical methods in engineering
- Geophysical Methods and Applications
Nanjing Tech University
2023-2024
Zhengzhou Normal University
2023
Zhengzhou University of Aeronautics
2021
Zhejiang University
2020-2021
We are concerned with the nonlinear fractional Schrödinger system \begin{equation} \begin{cases}(-\Delta )^{s} u+V_{1}(x)u=f(x,u)+\Gamma (x)|u|^{q-2}u|v|^{q} &\mbox {in } \mathbb {R}^{N},\\ (-\Delta v+V_{2}(x)v=g(x,v)+\Gamma (x)|v|^{q-2}v|u|^{q} u,v\in H^{s}(\mathbb {R}^{N}), \end{cases} \end{equation} where $(-\Delta )^{s}$ is Laplacian operator, $s\in (0,1)$, $N>2s$, $4\leq 2q\lt p\lt 2^{\ast }$, $2^{\ast }={2N}/({N-2s})$. $V_{i}(x)=V^{i}_{per }(x)+V^{i}_{loc }(x)$ closed-to-periodic for...
The paper is concerned with multiple solutions of a nonhomogeneous elliptic system Sobolev critical exponent over noncontractible domain, precisely, smooth bounded annular domain. We prove the existence four using variational methods and Lusternik–Schnirelmann theory, when inner hole annulus sufficiently small.
Abstract We study a coupled Schrödinger system with general nonlinearities. By using variational methods, we prove the existence and asymptotic behaviour of ground state solution for periodic couplings. Moreover, nonexistence non-periodic couplings via Nehari manifold method. Especially, both nontrivial components is obtained, sign considered.
The paper concerns a fractional Schrödinger–Poisson system involving Hardy potentials. By using Nehari manifold method, we prove the existence and asymptotic behaviour of ground state solution.
AbstractThis paper deals with the following critical Choquard equation a Kirchhoff type perturbation in bounded domains, {−(1+b‖u‖2)Δu=(∫Ωu2(y)|x−y|4dy)u+λuinΩ,u=0on∂Ω,where Ω⊂RN(N≥5) is smooth domain and ‖⋅‖ standard norm of H01(Ω). Under suitable assumptions on constant b≥0, we prove existence solutions for 0<λ≤λ1, where λ1>0 first eigenvalue −Δ Ω. Moreover, multiplicity λ>λ1 b>0 intervals.Keywords: equationKirchhoff problemcritical exponentNehari manifoldexistenceMathematic Subject...
This paper obtained a semianalytical solution for the P-wave scattering problem by an arbitrary-shaped canyon in saturated half-space using Biot’s theory, wave function expansion method, and moments method. Firstly, based on Biot fluid-saturated porous media theory potentials which automatically satisfy zero-stress boundary condition surface of are obtained. Then, value is transformed into algebraic method according to conditions, then solved numerically truncation. By adjusting parameters,...
The paper is concerned with the multiple solutions of a nonhomogeneous elliptic system critical exponent over non-contractible domain, precisely, smooth bounded annular domain. We prove existence four using variational methods and Lusternik-Schnirelmann theorey, when inner hole annulus sufficiently small.
In this paper we study the existence and asymptotic behavior of solutions ofwith Dirichlet boundary condition.Here, -2 < α 0, p(α) = 2(N+α) N-2 , 0 ε -1 -1ε is a nearly critical exponent.We combine variational arguments with moving plane method to prove positive radial solution.Moreover, behaviour solutions, as → studied by using ODE techniques.