Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 22, pp. 1-15.
Title: Antimaximum principle for elliptic problems with weight
Authors: T. Godoy (Univ. Nacional, Cordoba, Argentina)
J.-P. Gossez (Univ. Libre de Bruxelles, Belgique)
S. Paczka (Univ. Nacional, Cordoba, Argentina)
Abstract:
This paper is concerned with the antimaximum principle for the linear
problem with weight $-\Delta u = \lambda m(x) u +h(x)$,
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.