Orlicz capacities and applications to some existence questions for elliptic pdes having measure data

Alberto Fiorenza; Alain Prignet

Displaying similar documents to “Orlicz capacities and applications to some existence questions for elliptic pdes having measure data”

Limit theorems for measure-valued processes of the level-exceedance type

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

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Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let $\hat{ψ}$ (, ۔) be its characteristic function. We call the function $\hat{ψ}$ ( ,…, ; ,…, ) = $𝖤 \prod_{j = 1}^{l} \hat{ψ} (t_{j}, z_{j})$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...

Homogenization of a Periodic Parabolic Cauchy Problem in the Sobolev Space (ℝ)

T. Suslina (2010)

Mathematical Modelling of Natural Phenomena

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In (ℝ; ℂ), we consider a wide class of matrix elliptic second order differential operators $𝒜$ with rapidly oscillating coefficients (depending on /). For a fixed > 0 and small > 0, we find approximation of the operator exponential exp(− $𝒜$ ) in the ( (ℝ; ℂ) → (ℝ; ℂ))-operator norm...

On the continuity of degenerate -harmonic functions

Flavia Giannetti, Antonia Passarelli di Napoli (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the regularity of finite energy solutions to degenerate -harmonic equations. The function (), which measures the degeneracy, is assumed to be subexponentially integrable, it verifies the condition exp(()) ∈ . The function () is increasing on [0,∞[ and satisfies the divergence condition $\int_{1}^{\infty} \frac{P (t)}{t^{2}} d t = \infty .$