6533b870fe1ef96bd12cf3bc
RESEARCH PRODUCT
Relaxation of periodic and nonstandard growth integrals by means of two-scale convergence
Hubert NnangElvira ZappaleJoel Fotso Tachagosubject
PhysicsIntegral representationRegular polygonScale (descriptive set theory)homomgenizationFunction (mathematics)two scale convergencehomomgenization; two scale convergencehomomgenization two scale convergenceMathematics - Analysis of PDEsConvergence (routing)FOS: MathematicsRelaxation (physics)Limit (mathematics)Analysis of PDEs (math.AP)Mathematical physicsdescription
An integral representation result is obtained for the variational limit of the family functionals $\int_{\Omega}f\left(\frac{x}{\varepsilon}, Du\right)dx$, as $\varepsilon \to 0$, when the integrand $f = f (x,v)$ is a Carath\'eodory function, periodic in $x$, convex in $v$ and with nonstandard growth.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |