Optimal shape design for systems governed by variational inequalities. III: Necessary conditions in the elliptic case

DOI10.1007/BF00940895zbMath0795.49027MaRDI QIDQ1321215

J. E. Rubio, Wen-bin Liu

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

elliptic variational inequalitiesoptimality conditionsoptimal shape design

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items

Optimality conditions for strongly monotone variational inequalities ⋮ A new variational principle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shape sensitivity analysis via a penalization method
• On the existence of a solution in a domain identification problem
• Contrôle dans les inéquations variationelles elliptiques
• Optimal shape design for systems governed by variational inequalities. I: Existence theory for the elliptic case
• Optimal shape design for systems governed by variational inequalities. II: Existence theory for the evolution case
• Optimality conditions for strongly monotone variational inequalities
• Erratum: Optimal Control of Strongly Monotone Variational Inequalities
• Optimization and nonsmooth analysis
• Necessary Conditions for a Domain Optimization Problem in Elliptic Boundary Value Problems
• Shape Sensitivity Analysis via Min Max Differentiability
• Differentiation with Respect to the Domain in Boundary Value Problems
• Local Convergences and Optimal Shape Design
• On optimum design in fluid mechanics
• On optimum profiles in Stokes flow
• Optimal Control in Some Variational Inequalities