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- Title
- Regularity results for mixed local and nonlocal double phase functionals
- KIAS Author
- Song, Kyeong
- Journal
- JOURNAL OF DIFFERENTIAL EQUATIONS, 2025
- Archive
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- Abstract
- We investigate the De Giorgi-Nash-Moser theory for minimizers of mixed local and nonlocal functionals modeled after v bar right arrow integral(n)(R)integral(n)(R)|v(x)-v(y)|(p)/|x-y|(n+sp)dxdy+integral(Omega)a(x)|Dv|(q)dx, where 0= 0. In particular, we prove Holder regularity and Harnack inequality under possibly sharp assumptions on s,p,q and a(center dot).