Global Caccioppoli-type and Poincaré inequalities with Orlicz norms.
Agarwal, Ravi P., Ding, Shusen (2010)
Journal of Inequalities and Applications [electronic only]
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Agarwal, Ravi P., Ding, Shusen (2010)
Journal of Inequalities and Applications [electronic only]
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Cesare Davini, Roberto Paroni (2008)
ESAIM: Control, Optimisation and Calculus of Variations
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Here we present an approximation method for a rather broad class of first order variational problems in spaces of piece-wise constant functions over triangulations of the base domain. The convergence of the method is based on an inequality involving norms obtained by Nečas and on the general framework of -convergence theory.
Boccia, Serena, Monsurrò, Sara, Transirico, Maria (2008)
Boundary Value Problems [electronic only]
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Ding, Shusen, Liu, Bing (2006)
Journal of Inequalities and Applications [electronic only]
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Chérif Amrouche, Hamid Bouzit (2008)
Applications of Mathematics
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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in theory.
Maria Alessandra Ragusa (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.