Nonhomogeneous variational problems and quasi-minimizers on metric spaces
Research output: Contribution to journal › Article › Scientific › peer-review
- University of Pittsburgh
- University of Jyväskylä
We show that quasi-minimizers of non-homogeneous energy functionals are locally Hölder continuous and satisfy the Harnack inequality on metric measure spaces. We assume that the space is doubling and supports a Poincaré inequality. The proof is based on the De Giorgi method, combined with the expansion of positivity technique.
|Number of pages||25|
|Publication status||Published - Jan 2012|
|MoE publication type||A1 Journal article-refereed|