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ON THE STRICTLY POSITIVE SOLUTIONS OF NONAUTONOMOUS KOLMOGOROV COMPETITION SYSTEMS
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作者 TengZhidong YuYuanhong 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 1999年第3期283-292,共10页
In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient condit... In this paper, the existence of strictly positive solutions for N-species nonau- tonom ous Kolm ogorov com petition system s is studied. By applying the Schauder's fixed point theorem som e new sufficient conditions are established. In particular, for the alm ost periodic system , the existence of strictly positive alm ostperiodic solutions is obtained. Som e previous results are im proved and generalized. 展开更多
关键词 Nonautonom ous kolm ogorov system com petition strictly positve solution alm ostperi- odic solution Schauder's fixed pointtheorem
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一类含Caffarelli-Kohn-Nirenberg不等式的奇异椭圆型方程正解的存在性
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作者 彭艳芳 《数学理论与应用》 2012年第2期20-25,共6页
本文研究一类带奇异项及临界指数的方程-div(|x|-2a▽u)-μ(u/(|x|2(1+a)))=(|u|p-2u)/|x|bp +λu/(|x|dD),利用纤维方法证明方程在满足一定条件下正解的存在性.
关键词 纤维方法 奇异 Caffarelli-Kohn-Nirenberg不等式
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