The Higher Integrability and the Validity of the Euler–Lagrange Equation for Solutions to Variational Problems
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Publication:2903508
DOI10.1137/110820890zbMath1244.49030OpenAlexW2124077752MaRDI QIDQ2903508
Giovanni Bonfanti, Marco Mazzola, Arrigo Cellina
Publication date: 10 August 2012
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/110820890
Regularity of solutions in optimal control (49N60) Optimality conditions for free problems in two or more independent variables (49K10)
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A note on improved differentiability for the Banach-space valued Finsler \(\gamma\)-Laplacian ⋮ New homogenization results for convex integral functionals and their Euler-Lagrange equations ⋮ The Sobolev class where a weak solution is a local minimizer ⋮ Higher differentiability of solutions to variational problems ⋮ Shape derivatives for minima of integral functionals ⋮ On the validity of the Euler-Lagrange system
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