ELLIPTIC_EQUATION

作品数:135被引量:186H指数:7
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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>>
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The spike layer solution to singular perturbation Robin boundary value problem for higher order elliptic equation
《Applied Mathematics(A Journal of Chinese Universities)》2020年第4期410-416,共7页FENG Yi-hu HOU Lei 
Supported by the National Natural Science Foundation of China(11271247);the Excellent Youth Talented Project of the Colleges and Universities in Anhui Province(gxyqZD2016520);the Key Project for Teaching Research in Anhui Province(2017jyxm0591,2018jyxm0594);the Key Project for Natural Science Research in Anhui Province(KJ2015A347,KJ2019A1300).
The singularly perturbed Robin boundary value problem for the higher order elliptic equation is considered.Under suitable conditions,the existence and asymptotic behavior of solution to the boundary value problems are...
关键词:nonlinear Robin problem spike layer 
SOLVABILITY OF THE FOURTH ORDER NONLINEAR SUBELLIPTIC EQUATIONS ON THE HEISENBERG GROUP
《Applied Mathematics(A Journal of Chinese Universities)》2003年第1期45-52,共8页Zhang JihuiSchool of Math.& Computer Science,Nanjing Normal Univ.,Nanjing 210097,China. Tianshui Teachers College, Tianshui 741000,China. 
theNationalNaturalScienceFoundationofChina (199710 68)andtheNSFofEducationCommitteeofJiangsuProvince .
In this paper,some existence results for the fourth order nonlinear subelliptic equations on the Heisenberg group are given by means of variational methods.
关键词:Heisenberg group nonlinear problem subelliptic equation variational method existence vector. 
SINGULARLY PERTURBED BOUNDARY VALUE PROBLEMS FOR ELLIPTIC EQUATION WITH A CURVE OF TURNING POINT
《Applied Mathematics(A Journal of Chinese Universities)》2002年第1期64-68,共5页Mo JiaqiHuzhou Teachers College, Huzhou 313000. 
the NNSF of China(1 0 0 71 0 4 8)
The singularly perturbed elliptic equation boundary value problem with a curve of turning point is considered. Using the method of multiple scales and the comparison theorem, the asymptotic behavior of solution for th...
关键词:singular perturbation turning point elliptic equation. 
A CLASS OF SINGULARLY PERTURBED ROBIN BOUNDARY VALUE PROBLEMS FOR SEMILINEAR ELLIPTIC EQUATION
《Applied Mathematics(A Journal of Chinese Universities)》2001年第4期364-368,共5页Mo JiaqiDept.of Math.,Huzhou Teachers College,Huzhou 313000. 
Supported by the National Natural Science Foundation of China (1 0 0 71 0 4 8)
The singularly perturbed Robin boundary value problems for the semilinear elliptic equation are considered.Under suitable conditions and by using the fixed point theorem the existence,uniqueness and asymptotic behavio...
关键词:Elliptic equation singular perturbation fixed point theorem. 
A SIGN CHANGING SOLUTION FOR ELLIPTIC EQUATION WITH SUBLINEAR TERM AT ORIGIN
《Applied Mathematics(A Journal of Chinese Universities)》2001年第1期11-18,共8页Wu Shaoping Sun Yijing Dept. of Math., Zhejiang Univ., Hangzhou 310027. Nankai Institute of Math., Nankai Univ., Tianjin 300071. 
This research is supported by NNSFC(1 9771 0 72 ) and ZNSF.And thanks to JNCASR in India Fortheir host when the firstauthor is
It is proved that the semilinear elliptic problem with zero boundary value -Δ u=λu-|u| q-1 u has a changing sign solution, as q∈(0,1) and λ>λ 2 , where λ 2 is the second eigenvalue of the ope...
关键词:Sign  changing solution elliptic equation sublinear term. 
A NOTE ON REGULARITY FOR A CLASS OF QUASILINEAR ELLIPTIC EQUATIONS
《Applied Mathematics(A Journal of Chinese Universities)》2000年第3期273-280,共8页Li Junjie Bian BaojunDept.of Math.,Zhejiang Univ.,Hangzhou31 0 0 2 7 
Supported by the National Science Foundation of China(1 9771 0 72 ) and the Science Foundation of Zhe-jiang Province(1 970 1 0
The following regularity of weak solutions of a class of elliptic equations of the form are investigated, div A(x,u,Du)+B(x,u,Du)=0 in Ω.(*) Here Ω R n is a bounded domain, A(x,z,p)=(A 1(x,z,p),A 2(x,z,p),....
关键词:Elliptic equation regularity. 
DIRICHLET PROBLEM FOR THE IMPLICIT OBSTACLE PROBLEMS
《Applied Mathematics(A Journal of Chinese Universities)》1998年第4期373-376,共4页BIAN BAOJUN 
Abstract In this paper the implicit obstacle problem of fully nonlinear second order elliptic equations associated with impulsive control problem are investigated.The comparion principle for viscosity solutions is pro...
关键词:Implicit obstacle problem viscosity solution elliptic equation 
A NOTE ON REGULARITY AND EXISTENCE OF SOLUTIONS FOR A CLASS OF NON-UNIFORMLY DEGENERATE ELLIPTIC EQUATIONS
《Applied Mathematics(A Journal of Chinese Universities)》1994年第1期55-64,共10页LI JUNJIE(Dept.of Math.,Zhejiang University,Hangzhou,310027) 
In this paper we consider the Dirichlet problems of a non-uniformly digenerate elliptic equations of the formwhose prototype iswhere n C 1 N is a bounded domain,0
关键词:Elliptic Equation Non-uniformly Degenerate. 
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