4 papers · 1 filter
Regularity of rooftop envelopes
Eleonora Di Nezza, Alexander Rashkovskii
We study continuity, Hölder regularity, and -regularity of geodesics between continuous plurisubharmonic functions on bounded domains of . We then derive re…
Log canonical thresholds at infinity
Carles Bivià -Ausina, Alexander Rashkovskii
The paper considers a global version of the notion of log canonical threshold for plurisubharmonic functions of logarithmic growth in , aiming at description of t…
Kiselman Minimum Principle and Rooftop Envelopes in Complex Hessian Equations
Per à hag, RafaŠCzyż, Chinh H. Lu +1
We initiate the study of -subharmonic functions with respect to a semipositive -form in Euclidean domains, providing a significant element in understanding geodesics with…
Geodesic connectivity and rooftop envelopes in the Cegrell classes
Per à hag, RafaŠCzyż, Chinh H. Lu +1
This study examines geodesics and plurisubharmonic envelopes within the Cegrell classes on bounded hyperconvex domains in . We establish that solutions possessing com…