Nonlocal Harnack inequality for fractional elliptic equations with Orlicz growth. (English) Zbl 1528.35224
Summary: We prove Harnack inequality for weak solutions to nonlinear nonlocal equations of fractional \(G\)-Laplace type, under natural assumptions on the \(N\)-function \(G\).
© 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
© 2023 The Authors. The publishing rights in this article are licensed to the London Mathematical Society under an exclusive licence.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A23 | Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 35D30 | Weak solutions to PDEs |
| 47G20 | Integro-differential operators |
Keywords:
problems with Orlicz growthReferences:
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