Symmetrization for fractional nonlinear elliptic problems
Copyright policy )Symmetrization for fractional nonlinear elliptic problems
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.
Accepted for publication on Discrete and Continuous Dynamical Systems
symmetrization, Symmetrization; fractional Laplacian; nonlocal elliptic equations, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, nonlocal elliptic equations, FOS: Mathematics, fractional Laplacian, 35B45, 35R11, 35J25, Fractional partial differential equations, A priori estimates in context of PDEs, Analysis of PDEs (math.AP)
symmetrization, Symmetrization; fractional Laplacian; nonlocal elliptic equations, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, nonlocal elliptic equations, FOS: Mathematics, fractional Laplacian, 35B45, 35R11, 35J25, Fractional partial differential equations, A priori estimates in context of PDEs, Analysis of PDEs (math.AP)
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