Open Access
January 2025 Convergence property of supersolutions for quasilinear elliptic equations with gradient terms
Takayori Ono
Proc. Japan Acad. Ser. A Math. Sci. 101(1): 1-5 (January 2025). DOI: 10.3792/pjaa.101.001

Abstract

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.

Citation

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Takayori Ono. "Convergence property of supersolutions for quasilinear elliptic equations with gradient terms." Proc. Japan Acad. Ser. A Math. Sci. 101 (1) 1 - 5, January 2025. https://doi.org/10.3792/pjaa.101.001

Information

Published: January 2025
First available in Project Euclid: 23 December 2024

Digital Object Identifier: 10.3792/pjaa.101.001

Subjects:
Primary: 35J62
Secondary: 31B05

Keywords: convergence property , gradient term , quasi-linear equation , superharmonic function , Supersolution

Rights: Copyright © 2025 The Japan Academy

Vol.101 • No. 1 • January 2025
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