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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Laplacian estimates for the cscK equation
cscK方程 拉普拉斯估计 Nash-Moser迭代
2023/11/29
We will report Chen-Cheng’s work on cscK equations. We derive the Laplacian bound using Nash-Moser iteration.
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Multiple solutions for a Kirchhoff-type fractional coupled problem with p-Laplacian
p-Laplacian算子 Kirchhoff型分数 耦合问题 多重解
2023/11/13
We discuss a class of two-parameters coupled Kirchhoff-type fractional differential equations. Two differentiated methods are used to prove the existence of two solutions to the equation. The fundamen...
利用H增生映射的性质，证明了含有广义（p，q）-Laplacian算子的非线性椭圆系统存在唯一解的结论.证明方法简单且研究结果展示了H增生映射和非线性椭圆系统之间的关系，推广和补充了以往的相关研究工作.
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators
Harmonic function boundary Harnack principle gradient estimate
2016/1/20
Boundary Harnack principle and gradient estimates for fractional Laplacian perturbed by non-local operators.
Laplacian pyramid based Laurent polynomial (LP2) matrices are generated by Laurent polynomial column vectors and have long been studied in connection with Laplacian pyramidal algorithms in Signal Proc...
讨论一类带有p-Laplacian算子非线性分数阶微分方程耦合系统边值问题解的存在性,给出解的存在性条件,利用不动点定理进行讨论.
Convex optimization of graph Laplacian eigenvalues
Graph theory Laplacian matrix Convex optimization Semidefinite pro-gramming Markov chain Distributed averaging Effective resistance
2015/8/10
We consider the problem of choosing the edge weights of an undirected graph so as to maximize or minimize some function of the eigenvalues of the associated Laplacian matrix, subject to some constrain...
Hypoelliptic Laplacian and Chern-Weil.
We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
Fractional Laplacian in conformal geometry
Conformal geometry Fractional Laplacian Conformally covariant operators Dirichlet-to-Neumann operators Asymptotically hyperbolic manifolds
2014/4/3
In this note, we study the connection between the fractional Laplacian operator that appeared in the recent work of Caffarelli and Silvestre and a class of conformally covariant operators in conformal...
带跳跃非线性项的p-Laplacian问题的结点解
Fuč ik谱 结点解 跳跃非线性项
2014/5/5
研究了带跳跃非线性项的p-Laplacian方程结点解的存在性.如果该问题的非线性项跨越其对应齐次问题的Fučik谱,我们证明了该问题至少存在一个结点解.
时标上二阶带p-Laplacian算子的脉冲边值问题单调迭代正解的存在性
时标 脉冲边值问题 p-Laplacian算子 正解
2013/10/17
论文利用单调迭代的方法证明了时标上二阶 带p-Laplacian算子的脉冲边值问题的正解存在性.同时,举例阐述了主要结果.
一类具偏差变元的三阶p-Laplacian方程周期解的存在性
周期解 偏差变元 重合度 p-Laplacian方程
2012/11/12
采用重合度理论中的延拓定理, 研究一类三阶p-Laplacian中立型方程：(φp((x(t)-cx(t-σ))″))′+f1(x(t))x′(t)+f2(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t)T-周期解的存在性, 得到了该方程存在T-周期解的相关结果。
一类具偏差变元的三阶p-Laplacian方程周期解的存在性
周期解 偏差变元 重合度 p-Laplacian方程
2012/11/12
采用重合度理论中的延拓定理，研究一类三阶p-Laplacian中立型方程：(φp((x(t)-cx(t-σ))″))′+f1(x(t))x′(t)+f2(x′(t))x″(t)+ρ(t)g(x(t-τ(t)))=e(t)T-周期解的存性， 得到了该方程存在T-周期解的相关结果。
Singular parabolic p-Laplacian systems under non-smooth external forces. Regularity up to the boundary
Initial-boundary value problems p-Laplacian parabolic singular systems regularity up to the boundary
2012/6/30
We study the regularity of the solutions to initial-boundary value problems for N-systems of the p-Laplacian type, in $n\geq 3$ space variables, with square-integrable external forces in the space-tim...