H\"older regularity for weak solutions to nonlocal double phase problems

We prove local boundedness and Holder continuity for weak solutions to nonlocal double phase problems concerning the following fractional energy functional \[ \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{|v(x)-v(y)|^p}{|x-y|^{n+sp}} + a(x,y)\frac{|v(x)-v(y)|^q}{|x-y|^{n+tq}}\, dxdy, \] where $0

Keywords:

• Combinatorics
• Physics
• Local boundedness
• Hölder condition
• Energy functional
• double phase

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