Absence of Lavrentiev phenomenon for non-autonomous integral functionals with p,q-growth condition on the Heisenberg group

ZHANG Junli1; NIU Pengcheng2*

doi:10.15983/j.cnki.jsnu.2023004

Journal of Shaanxi Normal University(Natural Science Edition) >

2023 , Vol. 51 >Issue 1: 25 - 30

DOI: https://doi.org/10.15983/j.cnki.jsnu.2023004

Absence of Lavrentiev phenomenon for non-autonomous integral functionals with p,q-growth condition on the Heisenberg group

ZHANG Junli1 ,
NIU Pengcheng2*

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(1 School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China;2 School of Mathematics and Statistics, Northwestern Polytechnical University, Xian 710129, Shaanxi, China)

Online published: 2023-05-06

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Abstract

Lavrentiev phenomenon is an obstacle to research the regularity of minimizers of integral functionals,a sufficient condition for the absence of Lavrentiev phenomenon to non-autonomous integral functionals on the Heisenberg group with p,q-growth condition is given in this paper.

Key words： Heisenberg group; p,q-growth; non-autonomous integral functional; Lavrentiev phenomenon

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ZHANG Junli1 , NIU Pengcheng2* . Absence of Lavrentiev phenomenon for non-autonomous integral functionals with p,q-growth condition on the Heisenberg group[J]. Journal of Shaanxi Normal University(Natural Science Edition), 2023 , 51(1) : 25 -30 . DOI: 10.15983/j.cnki.jsnu.2023004

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