Classification of solutions to Δu = u^-γ in the half-space

2023/03/23 by Luigi Montoro, Montoro, Luigi, Luigi Muglia +3
Mathematics · #35A02 #35B09 #35J75 #Analysis of PDEs (math.AP) #Boundary (topology) #Boundary value problem #Computer science #Differential Equations and Boundary Problems #Dirichlet distribution #FOS: Mathematics #Linguistics #Mathematical analysis #Mathematics #Nonlinear Partial Differential Equations #Philosophy #Space (punctuation) #Spectral Theory in Mathematical Physics #Zero (linguistics)

paper · pdf · doi:10.48550/arxiv.2303.13053

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2023/03/23 · openalex created_date 2023/03/25 · openalex updated_date 2026/07/28

Abstract

We provide a classification result for positive solutions to Δu = u^-γ in the half space, under zero Dirichlet boundary condition.

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