Proc. Japan Acad. Ser. A Math. Sci. 101 (1), 1-5, (January 2025) DOI: 10.3792/pjaa.101.001
KEYWORDS: quasi-linear equation, gradient term, convergence property, Supersolution, superharmonic function, 35J62, 31B05
We consider quasi-linear second order elliptic differential equations with gradient terms and study a convergence property of supersolutions of the equation. As an application of the convergence property we investigate the relation between supersolutions and superharmonic functions.
