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Multiple solutions for some Dirichlet problems with nonlocal terms

100%
Cammaroto F., Faraci F.
Annales Polonici Mathematici
|
2012
|
tom 105
|
nr 1
31-42
EN
We deal with some Dirichlet problems involving a nonlocal term. The existence of two nonzero, nonnegative solutions is achieved by applying a recent result by Ricceri.
2
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Monotone weak Lindelöfness

81%
Bonanzinga M., Cammaroto F., Pansera B.
Open Mathematics
|
2011
|
tom 9
|
nr 3
583-592
EN
The definition of monotone weak Lindelöfness is similar to monotone versions of other covering properties: X is monotonically weakly Lindelöf if there is an operator r that assigns to every open cover U a family of open sets r(U) so that (1) ∪r(U) is dense in X, (2) r(U) refines U, and (3) r(U) refines r(V) whenever U refines V. Some examples and counterexamples of monotonically weakly Lindelöf spaces are given and some basic properties such as the behavior with respect to products and subspaces are discussed.
3
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On minimal Hausdorff and minimal Urysohn functions

81%
Cammaroto F., Catalioto A., Porter J.
Open Mathematics
|
2011
|
tom 9
|
nr 6
1242-1251
EN
In this article, we extend the work on minimal Hausdorff functions initiated by Cammaroto, Fedorchuk and Porter in a 1998 paper. Also, minimal Urysohn functions are introduced and developed. The properties of heredity and productivity are examined and developed for both minimal Hausdorff and minimal Urysohn functions.
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