Antimaximum Principle for Elliptic Problems with Weight
Date
1999-06-17
Authors
Godoy, Tomas
Gossez, Jean-Pierre
Paczka, Sofia
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
This paper is concerned with the antimaximum principle for the linear problem with weight
-Δu = λm(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.
Description
Keywords
Antimaximum principle, Indefinite weight, Fucik spectrum
Citation
Godoy, T., Gossez, J.-P., & Paczka, S. (1999). Antimaximum principle for elliptic problems with weight. <i>Electronic Journal of Differential Equations, 1999</i>(22), pp. 1-15.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.