A5100604753- Nonlinear Partial Differential Equations
- Advanced Mathematical Modeling in Engineering
- Advanced Mathematical Physics Problems
- Spectral Theory in Mathematical Physics
- Nonlinear Differential Equations Analysis
- Stability and Controllability of Differential Equations
- Differential Equations and Numerical Methods
- Differential Equations and Boundary Problems
- Nonlinear Photonic Systems
- Stochastic processes and statistical mechanics
- Numerical methods in inverse problems
- COVID-19 epidemiological studies
- Contact Mechanics and Variational Inequalities
- Numerical methods in engineering
- Geometric Analysis and Curvature Flows
- SARS-CoV-2 and COVID-19 Research
- Algebraic and Geometric Analysis
- Quantum Mechanics and Non-Hermitian Physics
- Navier-Stokes equation solutions
- Vaccine Coverage and Hesitancy
- Numerical methods for differential equations
- Advanced Harmonic Analysis Research
Huaqiao University
2013-2024
Guangdong Provincial Center for Disease Control and Prevention
2020
Capital Normal University
2010
Fujian Normal University
2002-2008
Peking University
2007-2008
Academy of Mathematics and Systems Science
2002-2006
Chinese Academy of Sciences
2002-2005
ABSTRACT Rationale Several studies have estimated basic production number of novel coronavirus pneumonia (NCP). However, the time-varying transmission dynamics NCP during outbreak remain unclear. Objectives We aimed to estimate and across China, compared them with SARS. Methods Data on cases by February 7, 2020 were collected from epidemiological investigations or official websites. severe acute respiratory syndrome (SARS) in Guangdong Province, Beijing Hong Kong 2002-2003 also obtained....
We study the existence of multi-bump solutions for semilinear Schrodinger equation -Δu + (1 ea(x))u = |u| p-2 u, u ∈ H 1 (ℝ N ), where ≥ 1, 2 if or 2, and e > 0 is a parameter. The function assumed to satisfy following conditions: C(ℝ a(x) in ℝ , 0(1) ln(a(x)) 0(|x|) as lxl → ∞. For any positive integer n, we prove that there exists e(n ) such that, < e(n), has an n-bump solution. Therefore, more 0.
We consider standing waves for 4-superlinear Schrödinger–Kirchhoff equations in with potential indefinite sign. The nonlinearity considered this study satisfies a condition that is much weaker than the classical Ambrosetti–Rabinowitz condition. obtain nontrivial solution and, case of odd nonlinearity, an unbounded sequence solutions via Morse theory and fountain theorem, respectively. Copyright © 2014 John Wiley & Sons, Ltd.
By introducing a new notion of the genus with respect to weak topology in Banach spaces, we prove variant Clark's theorem for nonsmooth functionals without Palais--Smale condition. In this theorem, condition is replaced by weaker assumption, and sequence critical points converging weakly zero nonpositive energy obtained. As applications, obtain infinitely many solutions quasi-linear elliptic equation which very degenerate lacks strict convexity, also existence homoclinic orbits second-order...
AbstractWe study the Schrödinger equation:Section.Display where is periodic and in -variables, a gap of spectrum operator asymptotically linear as We prove that under some assumptions for , this equation has nontrivial solution. Our are different from classical raised by Li Szulkin.Keywords: semilinear equationslinkingasymptotically linearAMS Subject Classifications: 35J2035J60 AcknowledgmentsThe authors would like to thank anonymous referees their comments suggestions on manuscript. Shaowei...
We study the Schrödinger equation:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>V</mml:mi><mml:mfenced separators="|"><mml:mrow><mml:mi>x</mml:mi></mml:mrow></mml:mfenced><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mfenced...
We consider a Schrödinger-Poisson system in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msup><mml:mi>ℝ</mml:mi><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:math>with strongly indefinite potential and general nonlinearity. Its variational functional does not satisfy the global linking geometry. obtain nontrivial solution and, in case of odd nonlinearity, infinitely many solutions using local improved fountain theorems, respectively.
We consider the nonlinear Schrödinger equation<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo>-</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>u</mml:mi><mml:mo>+</mml:mo><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>u</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo>=</mml:mo><mml:mi>V</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mi>u</mml:mi><mml:mo> </mml:mo><mml:mo> </mml:mo><mml:mi...
In this paper we investigate the existence of positive solutions for following nonlinear Schrödinger equation: where and as with , . MSC:35J20, 35J60.