On transformations of Wiener space.

Skorokhod, Anatoli V.

Displaying similar documents to “On transformations of Wiener space.”

A singular parabolic Anderson model.

Mueller, Carl, Tribe, Roger (2004)

Electronic Journal of Probability [electronic only]

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On the Dirichlet problem for a degenerate elliptic equation

Jan H. Chabrowski (1987)

Commentationes Mathematicae Universitatis Carolinae

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Interior regularity for the quasilinear elliptic systems with nonsmooth coefficients

Jiří Kottas (1987)

Commentationes Mathematicae Universitatis Carolinae

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Extensions of the Hardy-Littlewood inequalities for Schwarz symmetrization.

Hajaiej, H., Stuart, C.A. (2004)

International Journal of Mathematics and Mathematical Sciences

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Hölder regularity for nonhomogeneous elliptic systems with nonlinearity greater than two

Giovanna Idone (2004)

Czechoslovak Mathematical Journal

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Regularity results for elliptic systems of second order quasilinear PDEs with nonlinear growth of order $q > 2$ are proved, extending results of [7] and [10]. In particular Hölder regularity of the solutions is obtained if the dimension $n$ is less than or equal to $q + 2$ .

Carlson type inequalities.

Barza, Sorina, Pečarić, Josip, Persson, Lars-Erik (1998)

Journal of Inequalities and Applications [electronic only]

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Oscillations and concentrations in sequences of gradients

Martin Kružík, Agnieszka Kałamajska (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We use DiPerna’s and Majda’s generalization of Young measures to describe oscillations and concentrations in sequences of gradients, ${\nabla u_{k}}$ , bounded in $L^{p} (Ø; ℝ^{m \times n})$ if $p > 1$ and $Ω \subset ℝ^{n}$ is a bounded domain with the extension property in $W^{1, p}$ . Our main result is a characterization of those DiPerna-Majda measures which are generated by gradients of Sobolev maps satisfying the same fixed Dirichlet boundary condition. Cases where no boundary conditions nor regularity of $Ω$ are required and links with lower semicontinuity...