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国家自然科学基金(10631030): 作品数：30被引量：65H指数：5; 导出分析报告; 相关作者：吕登峰杨健夫彭超权胡松邓引斌更多>>; 相关机构：孝感学院江西师范大学中南民族大学华中师范大学更多>>; 相关期刊：《数学杂志》《中南民族大学学报（自然科学版）》《山西大学学报（自然科学版）》《华中师范大学学报（自然科学版）》更多>>; 相关主题：SOLUTIONSMULTIPLE_SOLUTIONSEXISTENCEEQUATIONSEMILINEAR更多>>; 相关领域：理学水利工程自动化与计算机技术文化科学更多>>

一类含临界耦合非线性项的奇异椭圆方程组的正解: 《数学杂志》2012年第2期357-362,共6页吕登峰; 国家自然科学基金资助项目(10631030);孝感学院青年项目(z2011004); 本文研究了一类含临界指数与耦合非线性项的奇异椭圆方程组. 利用变分方法与极大值原理, 通过证明对应的能量泛函满足局部的 (PS)c 条件, 得到了这类方程组正解的存在性, 推广了单个方程与方程组中的相应结果.; 关键词：椭圆方程组临界指数 Hardy项正解

EXISTENCE OF TWO POSITIVE SOLUTIONS TO SINGULAR ELLIPTIC SYSTEMS WITH WEIGHTS: 《Annals of Differential Equations》2011年第3期343-351,共9页Dengfeng Lü(School of Math. and Statistics,Xiaogan University,Xiaogan 432000,Hubei); supported by the National Natural Science Foundation of China (10631030);the Youth Foundation of Xiaogan University (Z2012003); In this paper,a class of singular elliptic systems involving weight functions and nonlinear terms are studied. By the fibering method introduced by Pohozaev and the strong maximum principle,the existence of two positi...; 关键词：elliptic systems positive solution fibering method

THE EXISTENCE OF NONTRIVIAL SOLUTIONS TO A SEMILINEAR ELLIPTIC SYSTEM ON R N WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION被引量：7: 《Acta Mathematica Scientia》2010年第6期1917-1936,共20页李工宝王春花; supported by NSFC (10571069, 10631030) and Hubei Key Laboratory of Mathematical Sciences;supported by the fund of CCNU for PHD students(2009019); In this paper, we prove the existence of at least one positive solution pair （u, v）∈ H1（RN） × H1（RN） to the following semilinear elliptic system {-△u＋u=f（x,v）,x∈RN,-△u＋u=g（x,v）,x∈RN （0.1）,by using ...; 关键词：EXISTENCE nontrivial solution semilinear elliptic system without the （AR） condition

INFINITELY MANY SOLUTIONS FOR AN ELLIPTIC PROBLEM INVOLVING CRITICAL NONLINEARITY被引量：2: 《Acta Mathematica Scientia》2010年第6期2017-2032,共16页曹道民严树森; supported by Key Project (10631030) of NSFC;Knowledge Innovation Funds of CAS in China;supported by ARC in Australia; We study the following elliptic problem：{-div（a（x）Du）=Q（x）｜u｜2-2u＋λu x∈Ω,u=0 onδΩ Under certain assumptions on a and Q, we obtain existence of infinitely many solutions by variational method.; 关键词：semilinear elliptic equations infinitely many solutions variational method

MULTIPLE STATIONARY SOLUTIONS OF EULER-POISSON EQUATIONS FOR NON-ISENTROPIC GASEOUS STARS被引量：8: 《Acta Mathematica Scientia》2010年第6期2077-2088,共12页邓引斌谢华朝; supported by NSFC (10631030, 11071094);the fund of CCNU for Ph.D students (2009021); The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this paper is concerned with the existence of stationary solutions of Euler-Poisson equations for...; 关键词：Euler-Poisson equations non-isentropic stationary solutions

POSITIVE SOLUTIONS FOR WEAKLY COUPLED NONLINEAR ELLIPTIC SYSTEMS被引量：1: 《Acta Mathematica Scientia》2010年第5期1577-1592,共16页龙静杨健夫; supported by National Natural Science Foundations of China(10631030,10961016); In this article, we consider the existence of positive solutions for weakly coupled nonlinear elliptic systems {-△u＋u=（1＋a（x））｜u｜P-1u＋μ｜u｜a-2u｜v｜β＋λv in Rn,-△u＋u=（1＋b（x））｜v｜p-1v＋μ｜u｜a｜...; 关键词：Elliptic system in RN positive solution BIFURCATION variational method

一类含不定非线性项奇异椭圆方程的正解被引量：2: 《山西大学学报（自然科学版）》2010年第3期321-325,共5页吕登峰; 国家自然科学基金重点项目(10631030);湖北省教育科学"十一五"规划(2007B086); 研究了一类含Sobolev-Hardy临界指数与不定非线性项的奇异椭圆方程,通过Nehari流形和精确的能量估计,运用集中紧性原理与强极值原理得到了这类方程正解的存在性.; 关键词：正解 SOBOLEV-HARDY临界指数椭圆方程

STABILITY OF GASEOUS STARS IN THE NON-ISENTROPIC CASE被引量：2: 《Acta Mathematica Scientia》2010年第4期1347-1356,共10页邓引斌巴娜谢华朝; supported by NSFC (10631030);the fund of CCNU for Ph.D Students (2009021); The motion of the self-gravitational gaseous stars can be described by the Euler-Poisson equations. The main purpose of this article is concerned with the nonlinear stability of gaseous stars in the non-isentropic cas...; 关键词：Euler-Poisson equations non-isentropic STABILITY

一类含临界指数双调和椭圆方程组非平凡解的存在性被引量：2: 《华中师范大学学报（自然科学版）》2010年第3期382-385,共4页吕登峰; 国家自然科学基金项目(10631030); 研究了一类含Soboiev临界指数的双调和椭圆方程组,通过精确的能量估计,运用山路引理得到了这类方程组非平凡解的存在性.; 关键词：双调和椭圆方程组 SOBOLEV临界指数山路引理

Quasilinear Elliptic Equations with Neumann Boundary and Singularity: 《Acta Mathematicae Applicatae Sinica》2009年第4期631-646,共16页Bing-yu Kou Shuang-jie Peng; Supported by the National Natural Science Foundation of China(No.10631030);the Program for New Century Excellent Talents in University(No.07-0350);the Key Project of Chinese Ministry of Education(No.107081); Let Ω be a bounded domain with a smooth C2 boundary in RN（N ≥ 3）, 0 ∈Ω, and n denote the unit outward normal to ЭΩ.We are concerned with the Neumann boundary problems： -div（｜x｜α｜△u｜p-2△u）=｜x｜βup（...; 关键词：Singular equations Caffarelli-Kohn-Nirenberg inequalities critical exponents ground state sloutions

国家自然科学基金(10631030)