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On multiple solutions of semilinear elliptic equation on unbounded domains with concave and convex nonlinearities

✍ Scribed by S.B. Tshinanga


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
240 KB
Volume
28
Category
Article
ISSN
0362-546X

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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 Ω that contains m disjoint large enough balls has m 2 2-nodal solutions and m positive so