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On the number of positive solutions for nonlinear elliptic equations when a parameter is large

โœ Scribed by Song-Sun Lin


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
740 KB
Volume
16
Category
Article
ISSN
0362-546X

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The effect of domain shape on the number
โœ Tsung-fang Wu ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 293 KB

In this paper, we study the effect of domain shape on the number of positive and nodal (sign-changing) solutions for a class of semilinear elliptic equations. We prove a semilinear elliptic equation in a domain โ„ฆ that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so