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math.AP2022
A Weierstrass extremal field theory for the fractional Laplacian
Xavier Cabre, Iñigo U. Erneta, Juan-Carlos Felipe-Navarro
In this paper we extend, for the first time, part of the Weierstrass extremal field theory in the Calculus of Variations to a nonlocal framework. Our model case is the energy funct…
math.AP2022
Stable solutions to semilinear elliptic equations for operators with variable coefficients
Iñigo U. Erneta
In this paper we extend the interior regularity results for stable solutions in [Cabré, Figalli, Ros-Oton, and Serra, Acta Math. 224 (2020)] to operators with variable coefficients…