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1. On properties of positive solutions to nonlinear tri-harmonic and bi-harmonic equations with negative exponents

Author

Wei Dai and Jingze Fu

Subjects
Tri-harmonic and bi-harmonic equations, negative exponents, nonexistence, asymptotic behavior, integral representation formula, uniqueness, Mathematics, QA1-939
Abstract

In this paper, we investigate various properties (e.g. nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-harmonic equations in [Formula: see text] ([Formula: see text]) and bi-harmonic equations in [Formula: see text] with negative exponents. Such kind of equations arise from conformal geometry.

Published
2022
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