Non-radially Symmetric Solutions for a Superlinear Ambrosetti-Prodi Type Problem in a Ball

Número: 
4
Ano: 
2005
Autor: 
Djairo G. Figueiredo
P. N. Srikanth
Sanjiban Santra
Abstract: 

Using a careful analysis of the Morse indices of the solutions obtained by using the Mountain Pass Theorem applied to the associated Euler-Lagrange functional acting both in the full space $H_0^1(\Omega)$ and in its subspace of radially symmetric functions we prove the existence of non-radially symmetric solutions of a problem of Ambrosetti-Prodi type in a ball.

Keywords: 
Mountain Pass theorem
non-radial solutions
Morse index
concentration
Mathematics Subject Classification 2000 (MSC 2000): 
35J65 35J20
Observação: 
submitted 01/31.
Arquivo: