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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MAXIMUM PRINCIPLES FOR GENERALIZED SOLUTIONS OF QUASI-LINEAR ELLIPTIC EQUATIONS被引量：1
《Applied Mathematics and Mechanics(English Edition)》2003年第4期458-467,共10页王向东 徐小增 梁廷 
Under the assumption that the growth order of the free term to satisfy the natural growth condition with respect to gradient of the generalized solutions, the maximum principle is proved for the bounded generalized so...
关键词：quasi_linear elliptic equation generalized solution maximum principleFORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS$$$$  LUO Shao_kai    1 2 3  (1.Institute of Mathematical Mechanics and Mathema 
EXISTENCE OF SOLUTIONS FOR NONLINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS被引量：2
《Applied Mathematics and Mechanics(English Edition)》2003年第1期99-108,共10页邵荣  牛欣  沈祖和  
安徽省教育厅科研项目
Hilbert space method is applied to a class of semilinear second_order elliptic boundary value problems and the existence of solutions is obtained with some restrictions.
关键词：Hilbert space coercivity condition COMPACT imbedding mapping elliptic equation 
A CLASS OF SINGULARLY PERTURBED GENERALIZED BOUNDARY VALUE PROBLEMS FOR QUASI-LINEAR ELLIPTIC EQUATION OF HIGHER ORDER被引量：19
《Applied Mathematics and Mechanics(English Edition)》2001年第3期372-378,共7页MO Jia-qi(莫嘉琪) OUYANG Cheng(欧阳成) 
The singularly perturbed generalized boundary value problems far the quasi- linear elliptic equation of higher order are considered. Under suitable conditions, the existence, uniqueness and asymptotic behavior of the ...
关键词：elliptic equation singular perturbation generalized solution 
A PRIORI ESTIMATE FOR LOWER SOLUTIONS OF ACLASS QUASILINEAR ELLIPTIC EQUATIONS被引量：1
《Applied Mathematics and Mechanics(English Edition)》1999年第2期231-232,共2页王向东 韩普宪 梁■廷 
A new priori estimate of lower- solution is made for the following quasilinear elliptic equation : integral(G) {del v . A (x, u, del u) + vB (x, u, del u)} dx = 0, For All v is an element of (W) over circle(p)(1) (G)....
关键词：elliptic equation lower solution priori estimate 
SINGULAR PERTURBATION OF THE FOURTH ORDER ELLIPTIC EQUATION WHEN THE LIMIT EQUATION IS ELLIPTIC-PARABOLIC
《Applied Mathematics and Mechanics(English Edition)》1991年第1期77-84,共8页林宗池 
National Natural Science Foundation of China(Ⅰ)
This paper considers the singular perturbation of a fourth order elliptic equation when the limit equation is elliptic-parabolic. The equation involves a positive parameter, a positive real number, a Laplacian operato...
关键词：Singular perturbation limit equation elliptic equation 
AGAIN DISCUSSING ABOUT SINGULAR PERTURBATION OF GENERAL BOUNDARY VALUE PROBLEM FOR HIGHER ORDER ELLIPTIC EQUATION CONTAINING TWO-PARAMETER
《Applied Mathematics and Mechanics(English Edition)》1984年第3期1333-1344,共12页林宗池 
In this paper using the method of "The Two-Variable Expansion Procedure" [11] we again discuss the construction of asymptotic expression of solution of general boundary value problem for higher order ellitptic equatio...
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