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 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

A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY被引量：1: 《Acta Mathematica Scientia》2022年第2期502-510,共9页Chunyu LEI Jiafeng LIAO Changmu CHU Hongmin SUO; supported by Natural Science Foundation of Guizhou Minzu University(20185773-YB03);supported by Fundamental Research Funds of China West Normal University(18B015);Innovative Research Team of China West Normal University(CXTD2018-8);supported by National Natural Science Foundation of China(11861021);supported by National Natural Science Foundation of China(11661021)。; We consider the logarithmic elliptic equation with singular nonlinearity {Δu+ulogu^(2)+λ/u^(γ)=0,in Ω,u>0,in Ω,u=0,on δΩ,where Ω⊂R^(N)(N≥3)is a bounded domain with a smooth boundary,0<γ<1 andλis a positive ...; 关键词：Logarithmic elliptic equation singular nonlinearity positive solutions variational method

THREE SOLUTIONS FOR A FRACTIONAL ELLIPTIC PROBLEMS WITH CRITICAL AND SUPERCRITICAL GROWTH被引量：1: 《Acta Mathematica Scientia》2016年第6期1819-1831,共13页张金国刘晓春; Supported by NSFC(11371282,11201196);Natural Science Foundation of Jiangxi(20142BAB211002); In this paper, we deal with the existence and multiplicity of solutions to the frac- tional elliptic problems involving critical and supercritical Sobolev exponent via variational arguments. By means of the truncation...; 关键词：fractional elliptic equation variational methods three solutions Moser itera-tion

PARTIAL SCHAUDER ESTIMATES FOR A SUB-ELLIPTIC EQUATION被引量：1: 《Acta Mathematica Scientia》2016年第3期945-956,共12页魏娜蒋永生吴永洪; supported by the NSFC(11201486,11326153);supported by"the Fundamental Research Funds for the Central Universities(31541411213)"; In this paper, we establish the partial Schauder estimates for the Kohn Laplace equation in the Heisenberg group based on the mean value theorem, the Taylor formula and a priori estimates for the derivatives of the Ne...; 关键词：partial Schauder estimates Kohn Laplace equation Heisenberg group

SYMMETRY OF TRANSLATING SOLUTIONS TO MEAN CURVATURE FLOWS: 《Acta Mathematica Scientia》2010年第6期2006-2016,共11页简怀玉鞠红杰刘艳楠孙伟; Supported by Natural Science Foundation of China (10631020, 10871061);the Grant for Ph.D Program of Ministry of Education of China;supported by Innovation Propject for the Development of Science and Technology (IHLB) (201098); First, we review the authors＇ recent results on translating solutions to mean curvature flows in Euclidean space as well as in Minkowski space, emphasizing on the asymptotic expansion of rotationally symmetric soluti...; 关键词：mean curvature flow SYMMETRY fully nonlinear： elliptic equation

STRONG COMPACTNESS OF APPROXIMATE SOLUTIONS TO DEGENERATE ELLIPTIC-HYPERBOLIC EQUATIONS WITH DISCONTINUOUS FLUX FUNCTION被引量：1: 《Acta Mathematica Scientia》2009年第6期1573-1612,共40页Helge Holden Kenneth H. Karlsen Darko Mitrovic Evgueni Yu. Panov; supported by the Research Council of Norway through theprojects Nonlinear Problems in Mathematical Analysis; Waves In Fluids and Solids; Outstanding Young Inves-tigators Award (KHK), ;the Russian Foundation for Basic Research (grant No. 09-01-00490-a) ;DFGproject No. 436 RUS 113/895/0-1 (EYuP); Under a non-degeneracy condition on the nonlinearities we show that sequences of approximate entropy solutions of mixed elliptic-hyperbolic equations are strongly precompact in the general case of a Caratheodory flux ...; 关键词：degenerate hyperbolic-elliptic equation degenerate convection-diffusion equation conservation law discontinuous flux approximate solutions COMPACTNESS

TWO PROBLEMS OF HERMITE ELLIPTIC EQUATIONS: 《Acta Mathematica Scientia》2009年第2期409-414,共6页黄飞敏; supported in part by NSFC (10471138);NSFC-NSAF (10676037);973 project of China (2006CB805902); In this article, the author investigates some Hermite elliptic equations in a modified Sobolev space introduced by X. Ding [2]. First, the author shows the existence of a ground state solution of semilinear Hermite el...; 关键词：Hermite elliptic equation modified Sobolev space eigenvalue problem

SOLUTIONS FOR A NONHOMOGENEOUS ELLIPTIC PROBLEM INVOLVING CRITICAL SOBOLEV-HARDY EXPONENT IN R^N被引量：10: 《Acta Mathematica Scientia》2006年第3期525-536,共12页王征平周焕松; This work was supported by NNSFC (10571174); For the following elliptic problem {-△u-μu/｜x｜^2=｜u｜^2^＊（s）-2u/｜x｜^s＋h（x）, on R^N u∈D^1,2（R^N）, N≥3, 0≤μ〈μ^-=（N-2）^2/4, 0≤s〈2, where 2^＊（s）=2（N-s）/N-2 is the critical Sobolev-Hardy expon...; 关键词：Critical Sobolev-Hardy exponent elliptic equation Mountain Pass theorem subsuper solutions NONHOMOGENEOUS

ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n=p被引量：5: 《Acta Mathematica Scientia》2006年第2期209-219,共11页姚仰新沈尧天; Supported by NSFC(10471047)NSF Guangdong Province(04020077); This article deals with the problem-△pu=λ｜u｜p/-2｜x｜pIn^p R/｜x｜＋f（x,u）,x∈Ω;u=0,x∈δΩ,where n = p. The authors prove that a Hardy inequality and the constant （p/p-1）^p is optimal. They also prove the ex...; 关键词：Elliptic equation Hardy inequality critical singularity Mountain PassLemma

THE COMPARISON OF GREEN FUNCTION FOR QUASI-LINEAR ELLIPTIC EQUATION被引量：2: 《Acta Mathematica Scientia》2005年第3期470-480,共11页郑神州康秀英; Supported by Beijing Jiaotong University Science Research Foundation (2004SM056); A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.; 关键词：Green function q-capacity BMO function Moser-Nash's iteration weak-L^p space

ELLIPTIC_EQUATION