Existence of minimizers for nonautonomous highly discontinuous scalar multiple integrals with pointwise constrained gradients

DOI10.3934/DCDS.2011.29.439zbMath1209.49002OpenAlexW2328993046MaRDI QIDQ632309

António Ornelas, Luís Balsa Bicho

Publication date: 15 March 2011

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2011.29.439

zbMATH Keywords

multiple integralshighly discontinuous nonconvex nonautonomous Lagrangiansoptimal control with scalar first-order PDEspointwise constrained gradientsscalar calculus of variations

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for problems in abstract spaces (49J27) Existence theories for optimal control problems involving partial differential equations (49J20)

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