11 citations · 34 across the 9 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math.AP2014★ 2 cited
Bubbling solutions for nonlocal elliptic problems
Juan Dávila, Luis López Ríos, Yannick Sire
We investigate bubbling solutions for the nonlocal equation \[ A_Ω^s u =u^p,\ u >0 \quad \mbox{in } Ω, \] under homogeneous Dirichlet conditions, where is a bounded and smooth…
math.AP2014★ 10 cited
Nonlocal -minimal surfaces and Lawson cones
Juan Dávila, Manuel del Pino, Juncheng Wei
The nonlocal -fractional minimal surface equation for where is an open set in is given by $$ H_Σ^ s (p) := \int_{R^N} \frac {χ_E(x) - χ_{E^c}(x)} {|x-p…