Equivalence of coercivity and mean coercivity in higher-order variational integrals with application to minimization

Equivalence of coercivity and mean coercivity in higher-order variational integrals with application to minimization

We consider a functional of the type F(u,Ω)=∫ΩF(Dku(x))dx on the Dirichlet class, where F is a continuous function and Ω is an open bounded set of Rn with a Lipschitz boundary. We prove that coercivity and mean coercivity are equivalent under growth conditions, and further we prove that mean coerciv...

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Bibliographic Details
Main Authors: He, Xiaoying, Chen, Chuei Yee
Format: Article
Language:English
Published: Springer Nature 2025
Online Access:http://psasir.upm.edu.my/id/eprint/118384/
http://psasir.upm.edu.my/id/eprint/118384/1/118384.pdf

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