T. Godoy, J.-P. Gossez, & S. Paczka
This paper is concerned with the antimaximum principle for the linear problem with weight
under Dirichlet or Neumann boundary conditions. We investigate the following three questions:
Where exactly can this principle hold?
If it holds, does it hold uniformly or not?
If it holds uniformly, what is the exact interval of uniformity?
We will in particular obtain a variational characterization of this interval of uniformity.
Submitted February 2, 1999. Published June 17, 1999.
Math Subject Classification: 35J20, 35P05.
Key Words: Antimaximum principle, indefinite weight, Fucik spectrum.
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Dep. Mathematique, C.P. 214
Universite Libre de Bruxelles
1050 Bruxelles, Belgique
FAMAF, Univ. Nacional Cordoba
Ciudad universitaria, 5000 Cordoba, Argentina