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半线性椭圆方程的多解存在性(英文) 被引量:3

Existence of Multiple Solutions for Semilinear Elliptic Equation
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摘要 本文考虑具有凹凸非线性和临界Sobolev指数的半线性椭圆方程的正解和多重解(可能非正)的存在性. In this paper we consider the existence of positive solutions and multiple solutions (possible not positive) of the semilinear elliptic equation with convex and concave nonlinearities, and critical Sobolev exponent.
作者 谭忠 姚正安
出处 《数学进展》 CSCD 北大核心 2002年第4期343-354,共12页 Advances in Mathematics(China)
基金 NSFC and NSF of Fujian.Partially supported by Postdoctor Fundation of Guangdong Province.
关键词 存在性 半线性椭圆方程 凹凸非线性 临界SOBOLEV指数 正解 多重性 semilinear elliptic equation convex and concave nonlinearities critical Sobolev exponent positive solutions multiple solutions
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  • 9元春梅,徐本龙,吴军英.奇异非线性椭圆方程正解的存在唯一性(英文)[J].曲阜师范大学学报(自然科学版),2004,30(3):14-18. 被引量:1

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