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Multiplicity of solutions of a semilinear elliptic equation with coefficients on symmetric domains

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Sintzoff, P

We study the equation -Deltau + x(a)u = x(b)u(p-2)u with Dirichlet boundary conditions on the unit ball B(0,1) and on annuli D(R,d). The aim of this paper is to prove -under some asymptotic conditions on a, b, R and d- that there exist many nonequivalent nonradial solutions for these two problems.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 2003
Language Anglais
Journal information "Advanced Nonlinear Studies" - Vol. 3, no. 4, p. 419-429 (2003)
Peer reviewed yes
Publisher Advanced Nonlinear Studies, Inc (San Antonio)
issn 1536-1365
Publication status Publié
Affiliation UCL
Keywords superlinear Dirichlet's problem ; variational method ; nonradial solution ; multiplicity result
Links
Bibliographic reference Sintzoff, P. Multiplicity of solutions of a semilinear elliptic equation with coefficients on symmetric domains. In: Advanced Nonlinear Studies, Vol. 3, no. 4, p. 419-429 (2003)
Permanent URL http://hdl.handle.net/2078.1/40647