Regularity results for mixed local and nonlocal double phase functionals

Sun-Sig Byun, Ho-Sik Lee, Kyeong Song

We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals modeled after \[ v \mapsto \int_{\mathbb{R}^{n}}\int_{\mathbb{R}^{n}}\dfrac{|v…