ELLIPTIC_EQUATION

作品数：137被引量：187H指数：7
导出分析报告
相关作者：王庚莫嘉琪陈松林李宝麟姚庆六更多>>
相关机构：安徽机电职业技术学院安徽师范大学华东冶金学院西北师范大学更多>>
相关期刊：《Journal of Mathematical Research with Applications》《Science China Mathematics》《Advances in Applied Mathematics and Mechanics》《Science Bulletin》更多>>
相关基金：国家自然科学基金国家重点基础研究发展计划河南省自然科学基金霍英东教育基金更多>>
-
在结果中检索

检索结果分析

结果分析中...
选择条件：
  • 期刊=Science China Mathematicsx
共 条 记 录，以下是1-10
全选清除导出
参考文献引证文献引用追踪
视图：
排序：
Bifurcation from the essential spectrum for an elliptic equation with general nonlinearities
《Science China Mathematics》2023年第10期2243-2260,共18页Jianjun Zhang Xuexiu Zhong Huansong Zhou 
supported by National Natural Science Foundation of China(Grant Nos.11801581,11871123,11931012 and 12271184);Guangdong Basic and Applied Basic Research Foundation(Grant Nos.2021A1515010034 and 2018A030310082);Guangzhou Association for Science and Technology(Grant No.202102020225);Chongqing Science and Technology Bureau(Grant No.JDDSTD201802);Chongqing University Science Foundation(Grant No.CXQT21021).
In this paper,based on some prior estimates,we show that the essential spectrum λ=0 is a bifurcation point for a superlinear elliptic equation with only local conditions,which generalizes a series of earlier results ...
关键词：elliptic equation bifurcation point essential spectrum 
Qualitative properties and classification of solutions to elliptic equations with Stein-Weiss type convolution part
《Science China Mathematics》2022年第10期2123-2150,共28页Xiang Li Minbo Yang Xianmei Zhou 
supported by National Natural Science Foundation of China(Grant Nos.11971436 and 12011530199);Natural Science Foundation of Zhejiang(Grant No.LD19A010001)。
In this paper,we study the qualitative properties and classification of the solutions to the elliptic equations with Stein-Weiss type convolution part.Firstly,we study the qualitative properties,such as the symmetry,r...
关键词：weighted elliptic equation finite Morse index solution Liouville type theorems qualitative properties 
Further study of a weighted elliptic equation被引量：2
《Science China Mathematics》2017年第12期2391-2406,共16页GUO ZongMing WAN FangShu 
supported by National Natural Science Foundation of China (Grant No. 11571093)
A Liouville type result is established for non-negative entire solutions of a weighted elliptic equation.This provides a positive answer to a problem left open by Du and Guo(2015) and Phan and Souplet(2012)(see(CJ) by...
关键词：positive solutions EMBEDDINGS weighted elliptic equations critical values Liouville theorem 
An alternating direction method of multipliers for elliptic equation constrained optimization problem被引量：5
《Science China Mathematics》2017年第2期361-378,共18页ZHANGKai LI JingShi SONG YongCun WANG XiaoShen 
supported by National Natural Science Foundation of China (Grant No. 11471141);the Basic Research of the Science and Technology Development Program of Jilin Province (Grant No. 20150101058JC)
We propose an alternating direction method of multipliers(ADMM)for solving the state constrained optimization problems governed by elliptic equations.The unconstrained as well as box-constrained cases of the Dirichlet...
关键词：ADMM optimal control problems elliptic equation constrained 
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions
《Science China Mathematics》2016年第11期2245-2264,共20页MENG XiangYun YANG XueQin ZHANG Shuo 
supported by National Natural Science Foundation of China (Grant Nos. 11471026, 11271035, 91430213, 11421101 and 11101415)
We present the convergence analysis of the rectangular Morley element scheme utilised on the second order problem in arbitrary dimensions. Specifically, we prove that the convergence of the scheme is of （D（h） order...
关键词：d-rectangular Morley element second order elliptic equation convergence analysis super convergence lower bound estimate 
Sub-harmonicity,monotonicity formula and finite Morse index solutions of an elliptic equation with negative exponent被引量：3
《Science China Mathematics》2015年第11期2301-2316,共16页GUO ZongMing ZHOU Feng 
supported by National Natural Science Foundation of China(Grant Nos.11171092 and 11271133);Innovation Scientists and Technicians Troop Construction Projects of Henan Province(Grant No.114200510011)
A monotonicity formula for stable solutions to a class of weighted semilinear elliptic equations with ＂negative exponent＂ is established. It is well known that such a monotonieity formula plays an essential role in ...
关键词：sub-harmonicity monotonicity formula singular nonlinearity finite Morse index solutions 
Multiple solutions for a Schrdinger-Poisson-Slater equation with external Coulomb potential被引量：6
《Science China Mathematics》2014年第6期1163-1174,共12页JIANG YongSheng ZHOU HuanSong 
supported by National Natural Science Foundation of China(Grant Nos.11071245,11171339 and 11201486);supported by the Fundamental Research Funds for the Central Universities
Consider the following Schr？dinger-Poisson-Slater system, （P） where ω 〉 0, λ 〉 0 and β 〉 0 are real numbers, p ∈ （1, 2）. For β=0, it is known that problem （P） has no nontrivial solution if λ 〉 0 suit...
关键词：elliptic equation multiple solutions Schrodinger-Poisson-Slater equation Coulomb potential 
Elliptic systems involving multiple critical nonlinearities and symmetric multi-polar potentials被引量：1
《Science China Mathematics》2014年第5期1011-1024,共14页KANG DongSheng YANG Fen 
supported by the Science Foundation of State Ethnic Affairs Commission of the People’s Republic of China(Grant No.12ZNZ004)
In this paper,a system of elliptic equations is investigated,which involves multiple critical Sobolev exponents and symmetric multi-polar potentials.By variational methods and analytic techniques,the relevant best con...
关键词：elliptic equation Hardy potential SOLUTION critical exponent variational method 
Anisotropic mesh generation methods based on ACVT and natural metric for anisotropic elliptic equation被引量：2
《Science China Mathematics》2013年第12期2615-2630,共16页HUANG YunQing SU YiFan WEI HuaYi YI NianYu 
supported by National Natural Science Foundation of China(Grant Nos.11031006 and 11201397);Program for Changjiang Scholars and Innovative Research Team in University(Grant No.IRT1179);International Science and Technology Cooperation Program of China(Grant No.2010DFR00700);Hunan Education Department Project(Grant No.12B127);Hunan Provincial National Science Foundation Project(Grant No.12JJ4004)
Anisotropic meshes are known to be well-suited for problems which exhibit anisotropic solution features. Defining an appropriate metric tensor and designing an efficient algorithm for anisotropic mesh gen- eration are...
关键词：anisotropic mesh metric tensor SUPERCONVERGENCE anisotropic elliptic equation 
Proof of a conjecture on a discretized elliptic equation with cubic nonlinearity被引量：3
《Science China Mathematics》2013年第6期1279-1286,共8页ZHANG XuPing YU Bo ZHANG JinTao 
supported by National Natural Science Foundation of China (Grant Nos.11171051 and 91230103)
We sharpen and prove a conjecture suggested by Chen and Xie, which states that in Galerkineigenfunction discretization for -Δu = u3 , when the finite-dimensional subspace is taken as the eigensubspace corresponding t...
关键词：elliptic equation cubic nonlinearity multiplicity of eigenvalue 
全选清除导出
共2页<12>
检索报告 对象比较 聚类工具 使用帮助 返回顶部