Work

On fully nonlinear free boundary problem with logarithmic singular absorption terms

Year: 2026

Type: article

Abstract: We study fully nonlinear uniformly elliptic equations with logarithmic singular absorption terms. In the absence of scaling properties, we establish the existence of solutions and characterize their optimal growth along the free boundary and sharp local regularity. Additionally, we derive non-degeneracy results and provide finer geometric estimates for the free boundary.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03263-y

Authors: Sun-Sig Byun, SeungHyun Kim

Institution: Seoul National University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: National Research Foundation, Seoul National University, National Research Foundation of Korea