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math.DG2012★ 8 cited
Some constructions for the fractional Laplacian on noncompact manifolds
Valeria Banica, Maria del Mar González, Mariel Sáez
We give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Caffarelli-Silvestre. While this definition in the compact…
math.AP2012
A discrete Bernoulli free boundary problem
Maria del Mar Gonzalez, Maria Gualdani, Henrik Shahgholian
We consider a free boundary problem for the -Laplace operator which is related to the so-called Bernoulli free boundary problem. In this formulation, the classical boundary grad…