论文摘要
运用变分法、Nehari流形和对数Sobolev不等式研究了一类带有变号对数非线性项的p-Laplacian型方程解的多重性.将Nehari流形N分成三部分N+,N-和N0,分别讨论了其子流形N+和N-上极小化序列的有界性,证明了极小化序列有强收敛的子列,进而得到该问题至少有两个非平凡解.
论文目录
文章来源
类型: 期刊论文
作者: 贾文艳,王淑丽,郭祖记
关键词: 对数非线性项,流形,对数不等式,非平凡解,型方程
来源: 中北大学学报(自然科学版) 2019年01期
年度: 2019
分类: 工程科技Ⅱ辑,基础科学
专业: 数学
单位: 太原理工大学数学学院
基金: 国家自然科学青年基金资助项目(11601363),山西省自然科学基金资助项目(201601D102001)
分类号: O175
页码: 26-33
总页数: 8
文件大小: 210K
下载量: 52
相关论文文献
- [1].Gradient Estimates for p-Laplacian Lichnerowicz Equation on Noncompact Metric Measure Space[J]. Chinese Annals of Mathematics,Series B 2020(03)
- [2].Equivalence Relation between Initial Values and Solutions for Evolution p-Laplacian Equation in Unbounded Space[J]. Communications in Mathematical Research 2020(01)
- [3].Ordering Quasi-Tree Graphs by the Second Largest Signless Laplacian Eigenvalues[J]. Journal of Mathematical Research with Applications 2020(05)
- [4].Existence of Solutions to Nonlinear Schr?dinger Equations Involving N-Laplacian and Potentials Vanishing at Infinity[J]. Acta Mathematica Sinica 2020(10)
- [5].含偶圈图的Laplacian谱刻画[J]. 运筹学学报 2018(04)
- [6].四阶p-Laplacian边值问题正解的存在性（英文）[J]. 数学季刊(英文版) 2018(04)
- [7].The Existence of Semiclassical States for Some P-Laplacian Equation with Critical Exponent[J]. Acta Mathematicae Applicatae Sinica 2017(02)
- [8].Soft Decision Based Gaussian-Laplacian Combination Model for Noisy Speech Enhancement[J]. Chinese Journal of Electronics 2018(04)
- [9].具有奇性的Laplacian型方程周期正解的存在性[J]. 韩山师范学院学报 2016(06)
- [10].Blow-up of p-Laplacian evolution equations with variable source power[J]. Science China(Mathematics) 2017(03)
- [11].Solvability for a Coupled System of Fractional p-Laplacian Differential Equations at Resonance[J]. Communications in Mathematical Research 2017(01)
- [12].The Existence of Nodal Solutions for the Half-Quasilinear p-Laplacian Problems[J]. Journal of Mathematical Research with Applications 2017(02)
- [13].Coiflet solution of strongly nonlinear p-Laplacian equations[J]. Applied Mathematics and Mechanics(English Edition) 2017(07)
- [14].Laplacian Energies of Regular Graph Transformations[J]. Journal of Donghua University(English Edition) 2017(03)
- [15].Existence of Solutions to a p-Laplacian Equation with Integral Initial Condition[J]. Communications in Mathematical Research 2017(04)
- [16].The Signless Laplacian Spectral Characterization of Strongly Connected Bicyclic Digraphs[J]. Journal of Mathematical Research with Applications 2016(01)
- [17].Multiplicity for Nonlinear Elliptic Boundary Value Problems of p-Laplacian Type Without Ambrosetti-Rabinowitz Condition[J]. Acta Mathematicae Applicatae Sinica 2015(01)
- [18].Existence of Solutions for a Four-point Boundary Value Problem with a p(t)-Laplacian[J]. Communications in Mathematical Research 2015(01)
- [19].奇异Φ-Laplacian周期边值问题解的存在性[J]. 山东大学学报(理学版) 2015(08)
- [20].单圈图的最小无号Laplacian谱展[J]. 华南师范大学学报(自然科学版) 2013(04)
- [21].循环图的Laplacian谱展[J]. 数学杂志 2013(06)
- [22].The Normalized Laplacian Spectrum of Pentagonal Graphs and Its Applications[J]. Journal of Mathematical Research with Applications 2019(04)
- [23].Evolutionary p(x)-Laplacian Equation with a Convection Term[J]. Acta Mathematicae Applicatae Sinica 2019(03)
- [24].Existence of Nonnegative Solutions for a Class of Systems Involving Fractional(p,q)-Laplacian Operators[J]. Chinese Annals of Mathematics,Series B 2018(02)
- [25].一类p-Laplacian方程单侧全局区间分歧及应用[J]. 数学物理学报 2018(04)
- [26].Energy and Laplacian of fractal interpolation functions[J]. Applied Mathematics:A Journal of Chinese Universities 2017(02)
- [27].图的Normalized Laplacian多项式系数[J]. 集美大学学报(自然科学版) 2016(01)
- [28].一类具有奇性p-Laplacian-Rayleigh方程的周期正解[J]. 韩山师范学院学报 2016(03)
- [29].Homoclinic Solutions for a Prescribed Mean Curvature Lienard p-Laplacian Equation with a Deviating Argument[J]. Journal of Donghua University(English Edition) 2016(03)
- [30].一类奇性的p-Laplacian-Rayleigh方程的周期正解的存在性[J]. 井冈山大学学报(自然科学版) 2016(04)