J. Serra

activity

20112023

most citedBoundary regularity for fully nonlinear integro-differential equations

77 citations · 190 across the 25 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.AP2015★ 1 cited

Boundary regularity estimates for nonlocal elliptic equations in $C^{1}$ and $C^{1, α}$ domains

Xavier Ros-Oton, Joaquim Serra

We establish sharp boundary regularity estimates in $C^{1}$ and $C^{1, α}$ domains for nonlocal problems of the form $Lu = f$ in $Ω$ , $u = 0$ in $Ω^{c}$ . Here, $L$ is a nonlocal elliptic op…

math.AP2015

An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions

Xavier Cabre, Joaquim Serra

We study nonlinear elliptic equations for operators corresponding to non-stable Lévy diffusions. We include a sum of fractional Laplacians of different orders. Such operators are i…

math.AP2015

Pohozaev identities for anisotropic integro-differential operators

Xavier Ros-Oton, Joaquim Serra, Enrico Valdinoci

We establish Pohozaev identities and integration by parts type formulas for anisotropic integro-differential operators of order $2 s$ , with $s \in (0, 1)$ . These identities involve loc…

Boundary regularity estimates for nonlocal elliptic equations in C1 and C1,α domains

An extension problem for sums of fractional Laplacians and 1-D symmetry of phase transitions

Pohozaev identities for anisotropic integro-differential operators

Boundary regularity estimates for nonlocal elliptic equations in $C^{1}$ and $C^{1, α}$ domains