On a Gamma-limit of Willmore functionals with additional curvature penalization term

Olbermann, Heiner
(2019) SIAM Journal on Mathematical Analysis — Vol. 51, n° 3, p. 2599-2632 (2019)

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Abstract
We consider the Willmore functional on graphs, with an additional penalization of the area where the curvature is non-zero. Interpreting the penalization parameter as a Lagrange multiplier, this corresponds to the Willmore functional with a constraint on the area where the graph is flat. Sending the penalization parameter to ∞ and rescaling suitably, we derive the limit functional in the sense of Γ-convergence.
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  • Universität Leipzig

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Olbermann, H. (2019). On a Gamma-limit of Willmore functionals with additional curvature penalization term. SIAM Journal on Mathematical Analysis, 51(3), 2599-2632. https://hdl.handle.net/2078.5/125383 (Original work published 2019)