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拟常曲率黎曼流形中的2-调和子流形

通化师范学院学报 2024年第2期45卷 36-39页

作者：李明图裴瑞昌天水师范学院数学与统计学院甘肃天水741000

该文讨论了拟常曲率黎曼流形Nn+p中具有平行平均曲率的2-调和子流形Mn,在ξ∈Γ(TM)时,得到这类子流形是极小子流形的一个拼挤定理.对2-调和超曲面的情形,也得到了其为极小超曲面的一个充分条件.

关键词：拟常曲率 2-调和极小平行平均曲率

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Multiple Solutions for a Fractional p-Laplacian Equation with Concave Nonlinearities

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Journal of Partial Differential Equations 2020年第2期33卷 93-108页

作者： pei ruichang School of Mathematics and Statistics Tianshui Normal UniversityTianshui 741000China

We investigate a fractional p-Laplacian equation with right-hand-side nonlinearity which exhibits (p-1)-sublinear term of the formλ|u|q-2,q < p (concave term),and a continuous term f(x,u) which is respectively (p-1)-superlinear or asymptotically (p-1)-linear at *** existence results for multiple nontrivial solutions are established by using variational methods combined with the Morse theory.

关键词： Fractional p-Laplacian problems Morse theory concave nonlinearities existence and multiplicity of solutions

Nontrivial Solutions for a Class of Quasilinear Elliptic Equations

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Journal of Mathematical Research with Applications 2016年第1期36卷 87-96页

作者： ruichang pei Jihui ZHANG School of Mathematics and Statistics Tianshui Normal University Institute of Mathematics School of Mathematics and Computer SciencesNanjing Normal University

The main purpose of this paper is to establish the existence results of one nontrivial solution(infinitely many nontrivial solutions) for a class of p-Laplacian equation with subcritical polynomial growth and subcriti... 详细信息

关键词： Linking theorem Adams-type inequality subcritical polynomial growth subcritical exponential growth

Multiplicity of Solutions for a Class of Nearly Resonant Semilinear Elliptic Problems

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Journal of Mathematical Research with Applications 2022年第3期42卷 307-317页

作者： Hongming XIA ruichang pei School of Mathematics and Statistics Tianshui Normal University

The existence of three nontrivial solutions for a class of superlinear Schr?dinger equations is obtained by using variational theorems of mixed type due to Marino and Saccon combined a Linking Theorem.

关键词： Schrodinger equation ∇-condition linking

Wave Breaking in the Periodic Integrable Hunter-Saxton Equation with a Dispersive Term

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Journal of Mathematical Research with Applications 2019年第5期39卷 517-528页

作者： Ying ZHANG ruichang pei Dewang CUI School of Mathematics and Statistics Tianshui Normal University

Considered here is the periodic Cauchy problem for an integrable Hunter-Saxton equation with a dispersive term. Firstly, we derive a precise blow-up criterion of strong solutions to the equation. Secondly, sufficient conditions guaranteeing the development of breaking waves in finite time are demonstrated by applying some conservative quantities and the method of characteristics, respectively. Finally, the exact blow-up rate is determined.

关键词： Hunter-Saxton equation integrable equation blow-up wave-breaking