On Lebesgue points of functions in the Sobolev class .

Latvala, Visa

Displaying similar documents to “On Lebesgue points of functions in the Sobolev class $W^{1, n}$ .”

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Harjulehto, Petteri, Kinnunen, Juha, Lukkari, Teemu (2007)

Boundary Value Problems [electronic only]

Similarity:

Regularity of minima of variational integrals

Josef Daněček, Eugen Viszus (1999)

Mathematica Slovaca

Similarity:

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems.

Meng, Junxia, Chu, Yuming (2006)

Boundary Value Problems [electronic only]

Similarity:

Gradient estimates for elliptic systems in Carnot-Carathéodory spaces

Giuseppe Di Fazio, Maria Stella Fanciullo (2002)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

Let $X = (X_{1}, X_{2}, \dots, X_{q})$ be a system of vector fields satisfying the Hörmander condition. We prove $L_{X}^{2, λ}$ local regularity for the gradient $X u$ of a solution of the following strongly elliptic system $- X_{α}^{*} (a_{i j}^{α β} (x) X_{β} u^{j}) = g_{i} - X_{α}^{*} f_{i}^{α} (x) \forall i = 1, 2, \dots, N,$ where $a_{i j}^{α β} (x)$ are bounded functions and belong to Vanishing Mean Oscillation space.

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

Alessandra Coscia, Domenico Mucci (2002)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

We study the integral representation properties of limits of sequences of integral functionals like $\int f (x, D u) d x$ under nonstandard growth conditions of $(p, q)$ -type: namely, we assume that ${| z |}^{p (x)} \leq f (x, z) \leq {L (1 + | z |}^{p (x)}) .$ Under weak assumptions on the continuous function $p (x)$ , we prove $Γ$ -convergence to integral functionals of the same type. We also analyse the case of integrands $f (x, u, D u)$ depending explicitly on $u$ ; finally we weaken the assumption allowing $p (x)$ to be discontinuous on nice sets.

Asymptotic analysis, in a thin multidomain, of minimizing maps with values in $S^{2}$

Antonio Gaudiello, Rejeb Hadiji (2009)

Annales de l'I.H.P. Analyse non linéaire

Similarity:

Displaying similar documents to “On Lebesgue points of functions in the Sobolev class W 1 , n .”

Unbounded supersolutions of nonlinear equations with nonstandard growth.

Regularity of minima of variational integrals

Boundary regularity of weak solutions to nonlinear elliptic obstacle problems.

Gradient estimates for elliptic systems in Carnot-Carathéodory spaces

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

Asymptotic analysis, in a thin multidomain, of minimizing maps with values in S 2

Displaying similar documents to “On Lebesgue points of functions in the Sobolev class $W^{1, n}$ .”

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

Asymptotic analysis, in a thin multidomain, of minimizing maps with values in $S^{2}$