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Existence and global higher integrability of quasiminimizers among minimizing sequences of variational integrals


Citation

Chen, Chuei Yee (2016) Existence and global higher integrability of quasiminimizers among minimizing sequences of variational integrals. Malaysian Journal of Mathematical Sciences, 10 (spec. Aug.). pp. 85-100. ISSN 1823-8343; ESSN: 2289-750X

Abstract

Quasiminimizers can be viewed as the perturbations of minimizers of variational integrals. We first establish the existence of good minimizing sequences of non-trivial variational integrals containing quasiminimizers of an inhomogeneous p-Dirichlet integral. Employing the concept of variational capacity, we show that the gradients of these quasiminimizers possess global higher integrability.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Notes: Special issue: The 7th International Conference on Research and Education in Mathematics (ICREM7)
Keywords: Quasiminimizers; Integrability; Minimizing sequences; p-Dirichlet integral; Variational problems
Depositing User: Nabilah Mustapa
Date Deposited: 05 Jun 2017 09:34
Last Modified: 05 Jun 2017 09:34
URI: http://psasir.upm.edu.my/id/eprint/52359
Statistic Details: View Download Statistic

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