Power law approximation results for optimal design problems

DOI10.1007/978-3-031-53740-0_6MaRDI QIDQ6618565

Elvira Zappale, Valerij Samojlenko, G. Gargiulo

Publication date: 14 October 2024

relaxation lower semicontinuity supremal functionals $\Gamma$-convergence double integrals $L^p$-approximation

Nonlinear elasticity (74B20) PDEs of mixed type (35M10) Methods involving semicontinuity and convergence; relaxation (49J45) Approximation by operators (in particular, by integral operators) (41A35) Convexity of real functions of several variables, generalizations (26B25) Partial differential equations and systems of partial differential equations with constant coefficients (35E99)

Cites Work

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Characterizations of Young measures generated by gradients
Periodic solutions and homogenization of non linear variational problems
Energy functionals depending on elastic strain and chemical composition
An introduction to $\Gamma$-convergence
Variational convergence for nonlinear shell models with directors and related semicontinuity and relaxation results
Relaxation of convex functionals: the gap problem
3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
A $\Gamma$-convergence result for optimal design problems
A relaxation result in the vectorial setting and power law approximation for supremal functionals
Relaxation for optimal design problems with non-standard growth
A-quasiconvexity: Relaxation and homogenization
3D-2D asymptotic analysis for inhomogeneous thin films
On the lower semicontinuity of supremal functional under differential constraints
A relaxation result in B V × L p for integral functionals depending on chemical composition and elastic strain
Optimal design and relaxation of variational problems, III
$\Gamma$-Convergence of Power-Law Functionals, Variational Principles in $L^{\infty},$ and Applications
Optimal design and relaxation of variational problems, I
Optimal design and relaxation of variational problems, II
3D-2D asymptotic analysis of an optimal design problem for thin films
Minimizers for a double-well problem with affine boundary conditions
Dielectric breakdown: optimal bounds
$\cal A$-Quasiconvexity, Lower Semicontinuity, and Young Measures
Relaxation for an optimal design problem with linear growth and perimeter penalization
Power-Law Approximation under Differential Constraints
Calculus of variations
Lower semicontinuity of $L^\infty$ functionals.

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