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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer Nature
2025
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| Online Access: | http://psasir.upm.edu.my/id/eprint/118384/ http://psasir.upm.edu.my/id/eprint/118384/1/118384.pdf |