On some regularity properties of mixed local and nonlocal elliptic equations

Second-order elliptic integro-differential equations: viscosity solutions' theory revisited

Guy Barles, Cyril Imbert · Annales de l Institut Henri Poincaré C Analyse Non Linéaire · 2007 · 371 citations · Full text

Natural Sciences, Mathematics, Physics +14

Mixed local and nonlocal elliptic operators: regularity and maximum principles

Stefano Biagi, Serena Dipierro, Enrico Valdinoci et al. · Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) · 2021 · 135 citations · Full text

Natural Sciences, Physics, Finite Element Analysis +15

Continuous dependence estimates for viscosity solutions of integro-PDEs

Espen R. Jakobsen, Kenneth H. Karlsen · Journal of Differential Equations · 2004 · 135 citations · Full text

Natural Sciences, Mathematics, Physics +11

Bootstrap regularity for integro-differential operators and its application to nonlocal minimal surfaces

Begoña Barrios Barrera, Alessio Figalli, Enrico Valdinoci · ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 2014 · 112 citations · Full text

Natural Sciences, Mathematics, Differential Equations +6

Description of an ecological niche for a mixed local/nonlocal dispersal: An evolution equation and a new Neumann condition arising from the superposition of Brownian and Lévy processes

Serena Dipierro, Enrico Valdinoci · Physica A Statistical Mechanics and its Applications · 2021 · 105 citations · Full text

Natural Resources, Ecology, Evolutionary Biology +15