Electronic Journal of Differential Equations,
Conference 05 (2000), pp. 21-31.
 
Title:  Existence of many positive nonradial solutions for 
        a superlinear Dirichlet problem on thin annuli 
 
Authors:  Alfonso Castro (Univ. of Texas San Antonio, TX, USA)
          Marcel B. Finan (Univ. of Texas Austin, TX 78712 USA) 
  
Abstract:
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 critical 
point and therefore is a desired solution. Then we show that 
the minimal energy solutions in different symmetric classes 
have mutually different energies. The same approach has 
been used to prove the existence of many sign-changing nonradial 
solutions (see [5]).

Published October 24, 2000.
Math Subject Classifications: 35J20, 35J25, 35J60.
Key Words: Superlinear Dirichlet problem; positive nonradial 
 solutions; variational methods.