(PS)-weak lower semicontinuity in one dimension: A necessary and sufficient condition

DOI10.1016/j.na.2005.12.003zbMath1104.49015OpenAlexW2108807893MaRDI QIDQ858634

Daniel Vasiliu, Baisheng Yan

Publication date: 11 January 2007

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.2005.12.003

zbMATH Keywords

Young measuresnon-convex variational problem(PS)-weak lower semicontinuity

Mathematics Subject Classification ID

Boundary value problems for nonlinear higher-order PDEs (35G30) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

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• Continuity and compactness of measures
• Parametrized measures and variational principles
• On the variational principle
• On a restricted weak lower semicontinuity for smooth functionals on Sobolev spaces
• State Constraints in Convex Control Problems of Bolza
• Semicontinuity problems in the calculus of variations
• Direct methods in the calculus of variations

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