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Existence of many positive solutions of semilinear elliptic equations on an annulus

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Wang, ZQ Willem, Michel [UCL]

This paper is concerned with multiplicity of positive nonradial solutions of a nonlinear eigenvalue problem on an expanding annulus domain with a fixed width in R-N with N greater than or equal to 4. For 0 < lambda < pi(2), we show that the number of nonrotationally equivalent nonradial solutions tends to infinity as the inner radius of the domain tends to infinity.

Document type Article de périodique (Journal article) – Article de recherche
Access type Accès restreint
Publication date 1999
Language Anglais
Journal information "American Mathematical Society. Proceedings" - Vol. 127, no. 6, p. 1711-1714 (1999)
Peer reviewed yes
Publisher Amer Mathematical Soc (Providence)
issn 0002-9939
e-issn 1088-6826
Publication status Publié
Affiliation UCL - SC/MATH - Département de mathématique
Links
Bibliographic reference Wang, ZQ ; Willem, Michel. Existence of many positive solutions of semilinear elliptic equations on an annulus. In: American Mathematical Society. Proceedings, Vol. 127, no. 6, p. 1711-1714 (1999)
Permanent URL http://hdl.handle.net/2078.1/44513