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BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals
Bounded variation functions Radon measures Relaxation Duality Integral representation
2009/1/22
We introduce and study the space of bounded variation functions with respect to a Radon measure $\mu$ on $\mathbb{R}^N$ and to a metric integrand $\varphi$ on the tangent bundle to $\mu$. We show that...
On a Non-Standard Convex Regularization and the Relaxation of Unbounded Integral Functionals of the Calculus of Variations
Non-Standard Convex Regularization Integral Functionals Calculus of Variations
2009/1/20
The analysis of the relationships between the functional $F^{(\infty)}(\Omega,\cdot) \colon u \in W^{1,\infty}(\Omega) \mapsto \inf$ $\{\liminf_h \int_\Omega f(\nabla u_h)dx : \{u_h\}$ $\subseteq W^{1...
Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals
Anisotropic Integral Functional Regularity Minimizer.
2008/6/27
Regularity for Vector Valued Minimizers of Some Anisotropic Integral Functionals.