Necessary optimality conditions for some control problems of elliptic equations with Venttsel boundary conditions

DOI10.1007/s00245-009-9087-8zbMath1197.49019arXiv0904.1060OpenAlexW2009630849MaRDI QIDQ1959684

Yousong Luo

Publication date: 7 October 2010

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0904.1060

zbMATH Keywords

boundary controloptimality conditionelliptic equationVenttsel boundary condition

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Second-order necessary optimality conditions for some state-constrained control problems of semilinear elliptic equations
• A survey of results on nonlinear Venttsel problems.
• On the quasilinear elliptic Venttsel boundary value problem
• Optimization and nonsmooth analysis
• A unified theory of first and second order conditions for extremum problems in topological vector spaces
• Linear second order elliptic equations with Venttsel boundary conditions
• First Order Conditions for General Nonlinear Optimization

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