Monotonicity and stability of optimal solutions of a minimization problem

DOI10.1016/j.cnsns.2015.01.016zbMath1463.49036OpenAlexW1971386922MaRDI QIDQ2297454

Behrouz Emamizadeh, Yichen Liu

Publication date: 20 February 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2015.01.016

zbMATH Keywords

optimizationmonotonicitystabilityexistenceuniquenessoptimality conditionsoptimal solutionsmembranedisplacementtangent cones

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) General topics in linear spectral theory for PDEs (35P05) Geometry and structure of normed linear spaces (46B20) Variational methods for eigenvalues of operators (49R05)

Related Items (1)

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Cites Work

• Tangent sets of order one and two to the positive cones of some functional spaces
• Tangent sets in some functional spaces
• Elliptic partial differential equations of second order
• Maximisation and minimisation on classes of rearrangements
• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
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