On weighted positivity and the Wiener regularity of a boundary point for the fractional Laplacian

DOI10.1007/BF02384490zbMath1046.34097MaRDI QIDQ1426896

Stefan Eilertsen

Publication date: 15 March 2004

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Nonlinear differential equations in abstract spaces (34G20) General theory of ordinary differential operators (47E05)

Related Items

A survey of useful inequalities in fractional calculus ⋮ The fractional Schrödinger equation with general nonnegative potentials. The weighted space approach ⋮ Weighted positivity of second order elliptic systems ⋮ Boundary estimates and a Wiener criterion for the fractional Laplacian ⋮ The Wiener criterion for nonlocal Dirichlet problems ⋮ Pointwise inequalities for elliptic boundary value problems ⋮ On weighted fractional integral inequalities ⋮ On estimates of biharmonic functions on Lipschitz and convex domains ⋮ A Collection of Sharp Dilation Invariant Integral Inequalities for Differentiable Functions

Cites Work

• On the wiener type regularity of a boundary point for the polyharmonic operator
• The Solution of Algebraic and Transcendental Equations by Iteration