Nontrivial p-convex solutions to singular p-Monge-Ampère problems: Existence, Multiplicity and Nonexistence

Autor: Meiqiang Feng
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Communications in Analysis and Mechanics, Vol 16, Iss 1, Pp 71-93 (2024)
Druh dokumentu: article
ISSN: 2836-3310
DOI: 10.3934/cam.2024004?viewType=HTML
Popis: Our main objective of this paper is to study the singular $ p $-Monge-Ampère problems: equations and systems of equations. New multiplicity results of nontrivial $ p $-convex radial solutions to a single equation involving $ p $-Monge-Ampère operator are first analyzed. Then, some new criteria of existence, nonexistence and multiplicity for nontrivial $ p $-convex radial solutions for a singular system of $ p $-Monge-Ampère equation are also established.
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