Comparison results without strict convexity
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Publication:1001624
DOI10.3934/dcdsb.2009.11.57zbMath1158.49025OpenAlexW2002792507MaRDI QIDQ1001624
Arrigo Cellina, Carlo Mariconda, Giulia Treu
Publication date: 19 February 2009
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2009.11.57
Optimality conditions for problems involving partial differential equations (49K20) Variational methods for second-order elliptic equations (35J20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)
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On the Lipschitz Regularity for Minima of Functionals Depending on $x$, $u$, and $\nabla{u}$ under the Bounded Slope Condition ⋮ Local estimates for minimizers of some convex integral functional of the gradient and the strong maximum principle ⋮ The lack of strict convexity and the validity of the comparison principle for a simple class of minimizers
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