Here is the simplest particular case of our main result: let f: R → R be a function of class C1, with supR f' > 0, such that Then, for each Γ >π2/supR f', the set of all u ε H1/0 (]0,1[) for which the problem has a non-zero solution is closed and not σ-compact in H1/0 (]0,1[).

Weights sharing the same eigenvalue

RICCERI, Biagio
2015-01-01

Abstract

Here is the simplest particular case of our main result: let f: R → R be a function of class C1, with supR f' > 0, such that Then, for each Γ >π2/supR f', the set of all u ε H1/0 (]0,1[) for which the problem has a non-zero solution is closed and not σ-compact in H1/0 (]0,1[).
2015
Dirichlet problem, Eigenvalue, Weigh, tσ-compact.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/16778
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