Year: 2026
Type: preprint
Abstract: We establish a sharp pointwise gradient estimate for positive entire classical solutions of the Lane--Emden system when one of the exponents lies below the Serrin exponent $n/(n-2)$. The estimate generalizes the positivity of the scalar curvature of the associated conformal metric in the biharmonic case $q=1$. The coefficient in the estimate is optimal on the critical hyperbola.
Source: arXiv (Cornell University)
Authors: Lee, Sanghoon, Li, Kui, Wei, Juncheng
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223341431