云南高校图书馆联盟文献共享服务平台- ELLIPTIC

ELLIPTIC_EQUATION: 作品数：135被引量：186H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>>

TWO FAMILIES OF n-RECTANGLE NONCONFORMING FINITE ELEMENTS FOR SIXTH-ORDER ELLIPTIC EQUATIONS: 《Journal of Computational Mathematics》2025年第1期121-142,共22页Xianlin Jin Shuonan Wu; supported in part by the National Natural Science Foundation of China(Grant No.12222101).; In this paper, we propose two families of nonconforming finite elements on n-rectangle meshes of any dimension to solve the sixth-order elliptic equations. The unisolvent property and the approximation ability of the ...; 关键词：Nonconforming finite element method n-Rectangle element Sixth-order elliptic equation Exchange of sub-rectangles

A class of quasilinear equations with-1 powers: 《中国科学院大学学报(中英文)》2025年第1期13-19,共7页ZHANG Heng SUN Yijing; Supported by National Science Foundation of China(11971027,12171497)。; This paper deals with quasilinear elliptic equations of singular growth like-Δu-uΔ(u^(2))=a(x)u^(-1).We establish the existence of positive solutions for general a(x)∈L^(p)(Ω),p>2,whereΩis a bounded domain inℝ^(N...; 关键词：quasilinear singular equation -1 power elliptic equation

Multiple Solutions for an Elliptic Equation with Hardy Potential and Critical Nonlinearity on Compact Riemannian Manifolds: 《Journal of Partial Differential Equations》2024年第1期1-24,共24页MALIKI Youssef TERKI Fatima Zohra; We prove the existence of multiple solutions of an elliptic equation with critical Sobolev growth and critical Hardy potential on compact Riemannian manifolds.; 关键词：Riemannian manifolds Yamabe equation Hardy potential.

A Note on Gradient Estimates for Elliptic Equations with Discontinuous Coefficients: 《Chinese Annals of Mathematics,Series B》2024年第1期1-10,共10页Yu PENG Xiandong SUN Huichun ZHANG; supported by the National Key R&D Program of China(No.2021YFA1003001).; The authors will use a method in metric geometry to show an L^(P)-estimate for gradient of the weak solutions to elliptic equations with discontinuous coefficients,even the BMO semi-norms of the coefficients are not s...; 关键词：L^(p)-Estimate Elliptic equation Discontinuous coefficients

The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations: 《Analysis in Theory and Applications》2023年第4期330-356,共27页Bin Deng; supported by NSFC Grant Nos.11721101 and 11871255.; In this paper,we establish global C2 estimates to the Neumann problem for a class of fully nonlinear elliptic equations.As an application,we prove the existence and uniqueness of k-admissible solutions to the Neumann ...; 关键词：Neumann problem fully nonlinear elliptic equation

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

TWO DISJOINT AND INFINITE SETS OF SOLUTIONS FOR AN ELLIPTIC EQUATION INVOLVING CRITICAL HARDY-SOBOLEV EXPONENTS: 《Acta Mathematica Scientia》2023年第5期2061-2074,共14页Khalid BOUABID Rachid ECHARGHAOUI Mohssine EL MANSOUR; In this paper,by an approximating argument,we obtain two disjoint and infinite sets of solutions for the following elliptic equation with critical Hardy-Sobolev exponents■whereΩis a smooth bounded domain in RN with ...; 关键词：Laplacien critical Sobolev-Hardy exponent critical Sobolev exponent infinitely many solutions Pohozaev identity

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

New Solutions for an Elliptic Equation Method and Its Applications in Nonlinear Evolution Equations: 《Journal of Applied Mathematics and Physics》2022年第8期2415-2431,共17页Minghuan Liu Yuanguang Zheng; In this paper, we study an elliptic equation with four distinct real roots and obtain five new solutions to this type of elliptic equation. Using these obtained new elliptic function solutions we can construct a serie...; 关键词：Elliptic Equation Periodic Wave Solution Singular Wave Solution Combined KdV-MKdV Equation Generalized Dullin-Gottwald-Holm Equation

A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem: 《Advances in Applied Mathematics and Mechanics》2022年第3期596-621,共26页MengyueWu Wenbao Ai Jianhua Yuan Hui Tian; This work was supported by National Natural Science Foundation of China(Grant Nos.12171052,11871115 and 11671052);BUPT Excellent Ph.D.Students Foundation(Grant No.CX2021320).The authors sincerely thank Prof.Haiming Song and Doctor Xin Gao for their valuable discussions.The authors also thank all of the editors and reviewers for their very important suggestions.; A new algorithm,called symmetric inertial alternating direction method of multipliers(SIADMM),is designed for separable convex optimization problems with linear constraints in this paper.The convergence rate of the SI...; 关键词：Symmetric inertial alternating direction method of multipliers convergence rate elliptic equation constraint ﬁnite element method

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