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Biagio Ricceri 《Set-Valued and Variational Analysis》1996,4(1):91-99
The aim of this paper is to establish a result of which the following is a particular case: If F is a nonempty closed-valued measurable multifunction, from a nonatomic σ-finite measure space (T, F, μ) into a separable real Banach space E, such that $$d(0,F( \cdot )) \in L^1 (T) and \mathop {\lim }\limits_{\lambda \to + \infty } \frac{{d(\lambda x,F(t))}}{\lambda } = 0$$ for almost every t ∈ T and for every x ∈ E, then each closed hyperplane of L 1(T,E) contains a selection of F. Also, some consequences are indicated. 相似文献
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J. J. Charatonik K. Omiljanowski B. Ricceri A. Villani 《Rendiconti del Circolo Matematico di Palermo》1988,37(2):201-245
Real multifunctions on connected spaces are studied. In the class of connected and locally compact metrizable spaces structural characterizations are shown of such ones on which each either lower or upper semicontinuous real multifunction with connected values (and possibly with boundary point-inverses) is either almost open or pseudo-almost open. Many related results are obtained. 相似文献
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Riccardo Ricceri Alessandro Abbotto Antonio Facchetti Daniela Grando Gabriella Gabrielli Giorgio A. Pagani 《Colloids and surfaces. A, Physicochemical and engineering aspects》1999,150(1-3):289-296
We report on Langmuir-Blodgett (LB) films characterization of 4-[5-dicyanomethanido)thien-2-y1]-N-(n-hexadecyl)pyridinium (C16H33-PDCNT), and 1-(N-(n-hexadecy]-4-pyridinio)-2-[5-(dicyanomethanido)thien-2-yl]ethene (C16H33-PDCNTE); LB films of the pure compounds and of the mixtures of the two compounds were prepared at 291 K: UV-vis investigation revealed the presence of photobleachable absorption bands, the ones at about 530 nm and 640 nm were due to charge transfer transitions of the monomer of C16H33-PDCNT and C16H33-PDCNTE, respectively; the sharp, photobleachable ones shifted to shorter wavelengths were due to H-aggregates of the two compounds. By changing the molar ratios of the two compounds in the mixtures and in other cases by annealing the LB films, the absorption maxima of the sharp, photobleachable bands due to H-aggregates could be tuned in the range 415–467 nm. These LB films are thus very promising in view of optical data storage applications. 相似文献
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Biagio Ricceri 《Mathematische Zeitschrift》1984,186(3):299-307
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On a three critical points theorem 总被引:7,自引:0,他引:7
B. Ricceri 《Archiv der Mathematik》2000,75(3):220-226
In this paper, using a recent result by J. Saint Raymond ([6]), we improve the three critical points theorem established in [5]. 相似文献
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In this note, we point out that the conclusion of Theorem 2.1 of Ref. 1 applies to any decomposable linear subspace of Lp(T, E). 相似文献
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Biagio Ricceri 《Nonlinear Analysis: Theory, Methods & Applications》2009,71(9):4151-4157
If X is a real Banach space, we denote by WX the class of all functionals possessing the following property: if {un} is a sequence in X converging weakly to u∈X and lim infn→∞Φ(un)≤Φ(u), then {un} has a subsequence converging strongly to u.In this paper, we prove the following result:Let X be a separable and reflexive real Banach space; an interval; a sequentially weakly lower semicontinuous C1 functional, belonging to WX, bounded on each bounded subset of X and whose derivative admits a continuous inverse on X∗; a C1 functional with compact derivative. Assume that, for each λ∈I, the functional Φ−λJ is coercive and has a strict local, not global minimum, say .Then, for each compact interval [a,b]⊆I for which , there exists r>0 with the following property: for every λ∈[a,b] and every C1 functional with compact derivative, there exists δ>0 such that, for each μ∈[0,δ], the equation
Φ′(x)=λJ′(x)+μΨ′(x) 相似文献
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