On the strong maximum principle

DOI10.1090/S0002-9939-01-06104-4zbMath0985.35010OpenAlexW1538546182MaRDI QIDQ2758977

Arrigo Cellina

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06104-4

zbMATH Keywords

comparison theoremsubdifferential

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Maximum principles in context of PDEs (35B50) Regularity of solutions in optimal control (49N60)

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Strong maximum principle for general quasilinear problems in non-divergence form ⋮ The normal derivative lemma and surrounding issues ⋮ Local estimates for functionals depending on the gradient with a perturbation ⋮ The strong maximum principle revisited. ⋮ Local estimates for minimizers of some convex integral functional of the gradient and the strong maximum principle ⋮ Gradient maximum principle for minima ⋮ Local Estimates for Minimizers, Embodied Techniques and (Self) Re-presentations Within Performance Art ⋮ On Hopf's Lemma and the Strong Maximum Principle

Cites Work

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• On the Bounded Slope Condition and the Validity of the Euler Lagrange Equation