Symmetrization for fractional nonlinear elliptic problems

Abstract

<p style='text-indent:20px;'>In this note we prove a new symmetrization result, in the form of mass concentration comparison, for solutions of nonlocal nonlinear Dirichlet problems involving fractional <inline-formula><tex-math id="M1">\begin{document}$ p $\end{document}</tex-math></inline-formula> Laplacians. Some regularity estimates of solutions will be established as a direct application of the main result.</p>