On duality principles for scalar and vectorial multi-well variational problems

DOI10.1016/j.na.2011.09.041zbMath1237.49045OpenAlexW4247680644MaRDI QIDQ412638

Fabio Silva Botelho

Publication date: 4 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.09.041

zbMATH Keywords

phase transitionscalculus of variationsconvex analysismulti-well models

Mathematics Subject Classification ID

Linear-quadratic optimal control problems (49N10) Existence theories for problems in abstract spaces (49J27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fine phase mixtures as minimizers of energy
• A duality principle for non-convex optimisation and the calculus of variations
• Parametrized measures and variational principles
• Duality principles in nonconvex systems. Theory, methods and applications
• The relaxation of two-well energies with possibly unequal moduli
• Bounds for the effective constitutive relation of a nonlinear composite
• Geometric nonlinearity: potential energy, complementary energy, and the gap function
• On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional
• Direct methods in the calculus of variations

This page was built for publication: On duality principles for scalar and vectorial multi-well variational problems