Symmetrization for fractional nonlinear elliptic problems
Vincenzo Ferone, Bruno Volzone
TL;DR
This paper introduces a new symmetrization technique for fractional nonlinear elliptic problems, enabling better understanding of solution behavior and regularity estimates for nonlocal operators.
Contribution
It presents a novel symmetrization result in the form of mass concentration comparison for fractional p-Laplacian problems, advancing the analysis of nonlocal nonlinear PDEs.
Findings
Established a new symmetrization comparison principle.
Derived regularity estimates for solutions of fractional p-Laplacian problems.
Enhanced understanding of solution behavior in nonlocal nonlinear elliptic equations.
Abstract
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 p Laplacians. Some regularity estimates of solutions will be established as a direct application of the main result.
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Taxonomy
TopicsNonlinear Partial Differential Equations · Nonlinear Differential Equations Analysis · Differential Equations and Boundary Problems