An Obstacle Problem for Elastic Graphs

DOI10.1137/17M111701XzbMath1382.49003OpenAlexW2782302668MaRDI QIDQ4602444

Anna Dall'Acqua, Klaus Deckelnick

Publication date: 11 January 2018

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m111701x

zbMATH Keywords

regularityelastic energyobstacle problemfourth order

Mathematics Subject Classification ID

Variational inequalities (49J40) Regularity of solutions in optimal control (49N60) Curves in Euclidean and related spaces (53A04) Existence theories for free problems in one independent variable (49J05)

Related Items

Polar tangential angles and free elasticae ⋮ Willmore Obstacle Problems under Dirichlet Boundary Conditions ⋮ Some minimization problems for planar networks of elastic curves ⋮ The \(p\)-elastic flow for planar closed curves with constant parametrization ⋮ A dynamical approach to the variational inequality on modified elastic graphs ⋮ The elastic flow with obstacles: small obstacle results ⋮ On gradient flows with obstacles and Euler's elastica ⋮ Elastic curves and phase transitions ⋮ An obstacle problem for elastic curves: existence results ⋮ A Remark on Elastic Graphs with the Symmetric Cone Obstacle

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