Abstract
As already mentioned in Section 1.2, in general one does not have positivity preserving for higher order Dirichlet problems. Nevertheless, in Chapter 6 we shall identify some families of domains where the biharmonic-or more generally the polyharmonic-Dirichlet problem enjoys a positivity preserving property. Moreover, there we shall prove “galmost positivity” for the biharmonic Dirichlet problem in any bounded smooth domain Ω ⊂Rn.
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© 2010 Springer-Verlag Berlin Heidelberg
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Gazzola, F., Grunau, HC., Sweers, G. (2010). Positivity and Lower Order Perturbations. In: Polyharmonic Boundary Value Problems. Lecture Notes in Mathematics(), vol 1991. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12245-3_5
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DOI: https://doi.org/10.1007/978-3-642-12245-3_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12244-6
Online ISBN: 978-3-642-12245-3
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