Integral representation and Γ-convergence of variational integrals with p(x)-growth

Alessandra Coscia; Domenico Mucci

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Displaying similar documents to “Integral representation and Γ-convergence of variational integrals with p(x)-growth”

Mathematical and numerical analysis of a stratigraphic model

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ESAIM: Mathematical Modelling and Numerical Analysis

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In this paper, we consider a multi-lithology diffusion model used in stratigraphic modelling to simulate large scale transport processes of sediments described as a mixture of lithologies. This model is a simplified one for which the surficial fluxes are proportional to the slope of the topography and to a lithology fraction with unitary diffusion coefficients. The main unknowns of the system are the sediment thickness , the surface concentrations $c_{i}^{s}$ in lithology of the sediments...

Lower semicontinuity of multiple µ-quasiconvex integrals

Ilaria Fragalà (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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Lower semicontinuity results are obtained for multiple integrals of the kind $\int_{ℝ^{n}} f (x, \nabla_{μ} u) d μ$ , where is a given positive measure on $ℝ^{n}$ , and the vector-valued function belongs to the Sobolev space $H_{μ}^{1, p} (ℝ^{n}, ℝ^{m})$ associated with . The proofs are essentially based on blow-up techniques, and a significant role is played therein by the concepts of tangent space and of tangent measures to . More precisely, for fully general , a notion of quasiconvexity for along the tangent bundle to , turns out to be necessary for...