Absence of Lavrentiev phenomenon for non-autonomous integral functionals with p,q-growth condition on the Heisenberg group
ZHANG Junli1,NIU Pengcheng2*
(1 School of Mathematics and Data Science, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China;2 School of Mathematics and Statistics, Northwestern Polytechnical University, Xian 710129, Shaanxi, China)
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.
KeyWords:
Heisenberg group;p,q-growth;non-autonomous integral functional;Lavrentiev phenomenon
