Local Hölder regularity for nonlocal equations with variable powers
نویسندگان
چکیده
We prove the local boundedness and Hölder continuity of weak solutions to nonlocal equations with variable orders exponents under sharp assumptions.
منابع مشابه
Hölder Regularity for Viscosity Solutions of Fully Nonlinear, Local or Nonlocal, Hamilton-Jacobi Equations with Superquadratic Growth in the Gradient
Viscosity solutions of fully nonlinear, local or non local, Hamilton-Jacobi equations with a super-quadratic growth in the gradient variable are proved to be Hölder continuous, with a modulus depending only on the growth of the Hamiltonian. The proof involves some representation formula for nonlocal Hamilton-Jacobi equations in terms of controlled jump processes and a weak reverse inequality.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2022
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-022-02353-x