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Your search keyword '"JIANWEN ZHOU"' showing total 3 results
Start Over Author "JIANWEN ZHOU" Journal boundary value problems
3 results on '"JIANWEN ZHOU"'

1. Sign-changing solutions for Kirchhoff-type variable-order fractional Laplacian problems

Author

Jianwen Zhou, Yueting Yang, and Wenbo Wang

Subjects
Kirchhoff-type problem, Variable-order fractional Laplacian, Sign-changing solution, Analysis, QA299.6-433
Abstract

Abstract In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problems involving critical exponents and logarithmic nonlinearity. By using the constraint variational method, we show the existence of one least energy sign-changing solution. Moreover, we show that this energy is strictly larger than twice the ground energy.

Published
2024
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2. An application of variational approach to a class of damped vibration problems with impulsive effects on time scales

Author

Jianwen Zhou, Yanning Wang, and Yongkun Li

Subjects
Vibration, Algebra and Number Theory, Partial differential equation, Ordinary differential equation, Multiplicity results, Mathematical analysis, Multiplicity (mathematics), Impulse (physics), Analysis, Mathematics
Abstract

In this paper, we present a new approach via variational methods and critical point theory to obtain the existence and multiplicity of solutions to a class of damped vibration problems with impulsive effects on time scales. By establishing a proper variational set, two existence results and two multiplicity results are obtained. Finally, one example is presented to illustrate the feasibility and effectiveness of our results.

Published
2015

3. Existence and multiplicity of solutions for some second-order systems on time scales with impulsive effects

Author

Yanning Wang, Yongkun Li, and Jianwen Zhou

Subjects
Partial differential equation, Algebra and Number Theory, Ordinary differential equation, Mathematical analysis, Multiplicity (mathematics), Function (mathematics), Critical point (mathematics), Analysis, Second order systems, Mathematics
Abstract

In this paper, we present a recent approach via variational methods and critical point theory to obtain the existence of solutions for the nonautonomous second-order system on time scales with impulsive effects{uΔ2(t)+A(σ(t))u(σ(t))+∇F(σ(t),u(σ(t)))=0,Δ-a.e. t∈[0,T]Tκ;u(0)−u(T)=uΔ(0)−uΔ(T)=0,(ui)Δ(tj+)−(ui)Δ(tj−)=Iij(ui(tj)),i=1,2,…,N,j=1,2,…,p,wheret0=0

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