Search results for "deriva"

showing 3 items of 1423 documents

Remarks on regularity for p-Laplacian type equations in non-divergence form

2018

We study a singular or degenerate equation in non-divergence form modeled by the $p$-Laplacian, $$-|Du|^\gamma\left(\Delta u+(p-2)\Delta_\infty^N u\right)=f\ \ \ \ \text{in}\ \ \ \Omega.$$ We investigate local $C^{1,\alpha}$ regularity of viscosity solutions in the full range $\gamma>-1$ and $p>1$, and provide local $W^{2,2}$ estimates in the restricted cases where $p$ is close to 2 and $\gamma$ is close to 0.

viscosity solutionsintegrability of second derivativesType (model theory)01 natural sciencesDivergencelocal C1ViscosityMathematics - Analysis of PDEsFOS: Mathematicspartial differential equations0101 mathematicsMathematicsMathematical physicsosittaisdifferentiaaliyhtälötα regularityApplied Mathematics010102 general mathematicsta111p-Laplacianlocal C1α regularityviskositeettiDegenerate equation35J60 35B65 35J92010101 applied mathematicsviscosityp-LaplacianAnalysisAnalysis of PDEs (math.AP)Journal of Differential Equations
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Warczeć, zipać, krzyczeć - czasowniki nie tylko dźwiękonaśladowcze i ich potencjał słowotwórczy

2018

The article is a tentative analysis of the word-forming potential for Polish not only onomatopoeic verbs. As the input material for analysis, the author selected 84 word-forming nests of verbs, taken from Słownik gniazd słowotwórczych współczesnego języka ogólnopolskiego (Kraków 2004). The selected verbs are the base for nouns, verbs, adjectives, adverbs. The derived nouns and verbs were divided into 23 semantic classes. The analysis of word-forming paradigms showed that onomatopoeic verbs quite regularly will derive verbs accentuating the beginning or the end of the action; verbs expressing intensity or weakening of the action; verbs naming reactions; there will also be nouns as names of a…

word-forming chainverbPolishword-forming nestderivationword-forming paradigmonomatopoeiaStudia et Documenta Slavica
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Ground and first excited electronic state interaction of FAD with some β-carboline derivatives

1987

Abstract The spectrophotometric and thermodynamic properties of molecular complexes of flavine adenine dinucleotide (FAD) with some dihydro β-carboline derivatives have been investigated in aqueous solution. The molecular associations have been examined by means of electronic absorption spectra, since in each a new charge-transfer band has been located, and also the variation of the fluorescence emission of FAD on the solutions has been observed. The formation constants for the molecular complexes were determined from absorption data, using the Foster-Hammick-Wardley method. The quenching fluorescence phenomena observed in FAD is related to the concentration of the dihydro β-carboline deriv…

β carboline derivativesAqueous solutionExcited electronic statebiologyAbsorption spectroscopyChemistryGeneral EngineeringPhotochemistryFluorescenceCofactorStability constants of complexesbiology.proteinPhysical chemistryheterocyclic compoundsAbsorption (chemistry)Spectrochimica Acta Part A: Molecular Spectroscopy
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