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20112019
most citedThe -harmonic potential is not always an -eigenfunction

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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 $\…