A LIOUVILLE-TYPE THEOREM FOR THE INEQUALITY Δu ≥ f (u)

被引：1

作者：

Pan, Yifei ^{[1
]}

Yan, Yu ^{[2
]}

机构：

[1] Purdue Univ, Dept Math Sci, Ft Wayne, IN 46805 USA

[2] Biola Univ, Dept Math & Comp Sci, La Mirada, CA USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 51卷 / 05期

关键词：

Lionville Theorem; entire Solutions;

D O I：

10.1216/rmj.2021.51.1807

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Liouville-type theorem for the entire solutions of Delta u >= f (u), complementing a classical result by Osserman (1957).

引用

页码：1807 / 1819

页数：13

共 50 条

[31] Liouville-type theorem for a nonlocal operator on the half plane
Esfahani, Amin
MONATSHEFTE FUR MATHEMATIK, 2018, 186 (03): : 439 - 452
[32] Liouville-type Theorem for Fractional Kirchhoff Equations with Weights
Duong, Anh Tuan
Pham, Duc Hiep
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2021, 47 (05) : 1585 - 1597
[33] A Liouville-type theorem for higher order elliptic systems
Yan, Xiaodong
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 387 (01) : 153 - 165
[34] A Liouville-type theorem for the 3D primitive equations
Peralta-Salas, D.
Slobodeanu, R.
PHYSICA D-NONLINEAR PHENOMENA, 2023, 453
[35] A Liouville-type theorem for a system of parabolic inequalities and its applications
Xiang, Zhaoyin
Mu, Chunlai
Du, Lili
APPLIED MATHEMATICS LETTERS, 2007, 20 (09) : 976 - 981
[36] A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient
Filippucci, Roberta
Pucci, Patrizia
Souplet, Philippe
ADVANCED NONLINEAR STUDIES, 2020, 20 (02) : 245 - 251
[37] Liouville-Type Theorem for a Nonlinear Degenerate Parabolic System of Inequalities
Wu, H.
MATHEMATICAL NOTES, 2018, 103 (1-2) : 155 - 163
[38] LIOUVILLE-TYPE THEOREM FOR LOGARITHMIC LAPLACIAN SYSTEMS IN COERCIVE EPIGRAPHS
Liu, Baiyu
Xu, Shasha
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2024, 23 (05) : 577 - 594
[39] A Liouville-type theorem for the p-Laplacian with potential term
Pinchover, Yehuda
Tertikas, Achilles
Tintarev, Kyril
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2008, 25 (02): : 357 - 368
[40] New Liouville-type theorem for the stationary tropical climate model
Cho, Youseung
In, Hyunjin
Yang, Minsuk
APPLIED MATHEMATICS LETTERS, 2024, 153

← 1 2 3 4 5 →