Work

Liouville type results for the fractional truncated Laplacians in a half-space

Year: 2025

Type: article

Abstract: Existence issues of viscosity supersolutions in the half-space R + N , for a class of fully nonlinear integral equations involving the fractional truncated Laplacians and a power-like nonlinearity in the unknown function, are addressed in this paper, the aim being to obtain estimates on the threshold exponents separating the existence from the nonexistence regimes.

Source: Nonlinearity

DOI: 10.1088/1361-6544/add835

Authors: Giulio Galise, Hitoshi Ishii

Institutions: Sapienza University of Rome, Tsuda University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Japan Society for the Promotion of Science