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Three nodal solutions of singularly perturbed elliptic equations on domains without topology

โœ Scribed by Thomas Bartsch; Tobias Weth


Book ID
108052895
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
244 KB
Volume
22
Category
Article
ISSN
0294-1449

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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