Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli

We study the existence of many positive nonradial solutions of a superlinear Dirichlet problem in an annulus in R^N. Our strategy consists of finding the minimizer of the energy functional restricted to the Nehrai manifold of a subspace of functions with symmetries. The minimizer is a global critica...

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Bibliographic Details
Main Authors: Alfonso Castro, Marcel B. Finan
Format: Article
Language:English
Published: Texas State University 2000-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/05/c2/abstr.html