1,720,996 research outputs found
Protoplasts and whole plants of tomato are differently affected by phytopathogenic mycotoxins from Fusarium species
No full textIsolation and characterization of a novel aquaporin in pumpkin (Cucurbita Pepo L.) roots
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On the mean value property of fractional harmonic functions
Full text linkAs is well known, harmonic functions satisfy the mean value property, i.e. the average of such a function over a ball is equal to its value at the center. This fact naturally raises the question on whether this is a feature characterizing only balls, namely, is a set, for which all harmonic functions satisfy the mean value property, necessarily a ball? This question was investigated by several authors, including Bernard Epstein (1962), Bernard Epstein and Schiffer (1965), Myron Goldstein and Wellington (1971), who obtained a positive answer to this question under suitable additional assumptions. The problem was finally elegantly, completely and positively settled by Ülkü Kuran (1972), with an artful use of elementary techniques. This classical problem has been recently fleshed out by Giovanni Cupini, et al. (in press) who proved a quantitative stability result for the mean value formula, showing that a suitable “mean value gap” (measuring the normalized difference between the average of harmonic functions on a given set and their pointwise value) is bounded from below by the Lebesgue measure of the “gap” between the set and the ball (and, consequently, by the Fraenkel asymmetry of the set). That is, if a domain “almost” satisfies the mean value property for all harmonic functions, then that domain is “almost” a ball. The goal of this note is to investigate some nonlocal counterparts of these results. Some of our arguments rely on fractional potential theory, others on purely nonlocal properties, with no classical counterpart, such as the fact that “all functions are locally fractional harmonic up to a small error”
VARIAZIONI DEL CONTENUTO DI ACIDO ASCORBICO E DEIDROASCORBICO IN UVA DA TAVOLA CV. 'ITALIA' IN DIVERSE CONDIZIONI DI FRIGOCONSERVAZIONE
No full textIs the ascorbate system involved in the induction of the oxidative burst by oligogalacturonides and salicylic acid?
No full textBologn
A specific ascorbate free radical reductase isozyme participates in the rigeneration of ascorbate for scavenging toxic oxigen species in potato tuber mitochondria
No full textA Faber-Krahn inequality for mixed local and nonlocal operators
Full text linkWe consider the first Dirichlet eigenvalue problem for a mixed local/nonlocal elliptic operator and we establish a quantitative Faber-Krahn inequality. More precisely, we show that balls minimize the first eigenvalue among sets of given volume and we provide a stability result for sets that almost attain the minimum
A new dehydroascorbate reducing protein is expressed in tomato plants in response to treatment with Beauvericin
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