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math.AP2016
Perron's Method and Wiener's Theorem for a Nonlocal Equation
Erik Lindgren, Peter Lindqvist
We study the Dirichlet problem for non-homogeneous equations involving the fractional -Laplacian. We apply Perron's method and prove Wiener's resolutivity theorem.
math.AP2016
Approximation of the least Rayleigh quotient for degree homogeneous functionals
Ryan Hynd, Erik Lindgren
We present two novel methods for approximating minimizers of the abstract Rayleigh quotient . Here is a strictly convex functional on a Banach space with norm $\…