Nonhomogeneous variational problems and quasi-minimizers on metric spaces

作者:Gong Jasun*; Manfredi Juan J; Parviainen Mikko
来源:Manuscripta Mathematica, 2012, 137(1-2): 247-271.
DOI:10.1007/s00229-011-0489-y

摘要

We show that quasi-minimizers of non-homogeneous energy functionals are locally Holder continuous and satisfy the Harnack inequality on metric measure spaces. We assume that the space is doubling and supports a Poincar, inequality. The proof is based on the De Giorgi method, combined with the expansion of positivity technique.

  • 出版日期2012-1