A class of homogenization problems in the calculus of variations

Keywords

Homogenization (climate), Mathematics, Affine transformation, Regular polygon, Hamilton–Jacobi equation

References

• Variational convergence for functions and operatorsHédy Attouch — 1984
• Multiple Integrals in the Calculus of VariationsCharles B. Morrey — 1966
• Homogenization of nonconvex integral functionals and cellular elastic materialsStefan Müller — 1987
• W1,p-quasiconvexity and variational problems for multiple integralsJ. M. Ball, François Murat — 1984
• γ-limits of integral functionalsGuiseppe Buttazzo, Gianni Dal Maso — 1980
• On the limits of periodic Riemannian metricsE. Acerbi, Giuseppe Buttazzo — 1983
• Γ — Convergence and calculus of variationsE. D. Giorgi, G. Maso — 1983

Cited by

• Phase Boundary Propagation in Heterogeneous MediaBogdan Craciun — 2002
• Homogenization of generalized characteristics associated to solutions of Hamilton–Jacobi equationsYifeng Yu — 2010
• Random and periodic homogenization for some nonlinear partial differential equationsRussell W. Schwab — 2009
• Stochastic homogenization of Hamilton–Jacobi equations and some applicationsPanagiotis E. Souganidis — 1999
• Riemannian approximation of Finsler metricsAndrea Braides, Giuseppe Buttazzo, Ilaria Fragalà — 2002
• AUBRY-MATHER THEORY AND PERIODIC SOLUTIONS OF THE FORCED BURGERS EQUATIONE Weinan — 1999
• Periodic homogenisation of Hamilton–Jacobi equations: 2. Eikonal equationsMarie C. Concordel — 1997
• Théorème KAM faible et théorie de Mather sur les systèmes lagrangiensAlbert Fathi — 1997
• Homogenization of degenerate second-order PDE in periodic and almost periodic environments and applicationsPierre‐Louis Lions, Panagiotis E. Souganidis — 2005
• The -convergence of oscillating integrands with nonstandard coercivity and growth conditionsV. V. Zhikov, S. E. Pastukhova — 2014
• Almost periodic methods in the theory of homogenizationAndrea Braides — 1992
• Deterministic homogenization of non-linear non-monotone degenerate elliptic operatorsJean Louis Woukeng — 2008
• Homogenization in LOlivier Alvarez, E. N. Barron — 2002
• Stochastic homogenization of Hamilton-Jacobi equations in stationary ergodic spatio-temporal mediaRussell W. Schwab — 2009
• On the homogenization of some non-coercive Hamilton--Jacobi--Isaacs equationsMartino Bardi, Gabriele Terrone — 2012
• Phase boundary propagation in a heterogeneous bodyKaushik Bhattacharya — 1999
• Homogenization problems of parabolic minimaHuaiyu Jian — 1996
• On the Γ-limit for a non-uniformly bounded sequence of two-phase metric functionalsHartmut Schwetlick, Daniel C. Sutton, Johannes Zimmer — 2014
• Effective Hamiltonians and Averaging for Hamiltonian Dynamics IL. C. Evans, Diogo A. Gomes — 2001
• Γ-CONVERGENCE OF INTEGRAL FUNCTIONALS DEPENDING ON VECTOR-VALUED FUNCTIONS OVER PARABOLIC DOMAINSHuaiyu Jian — 2000

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