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Nonexistence Results of Positive Entire Solutions for Quasilinear Elliptic Inequalities

Published online by Cambridge University Press:  20 November 2018

Yūki Naito  and
Hiroyuki Usami
Yūki Naito
Affiliation:
Department of Applied Mathematics Faculty of Engineering Kobe University Nada, Kobe 657 Japan
Hiroyuki Usami
Affiliation:
Department of Mathematics Faculty of Integrated Arts and Sciences Hiroshima University Higashi-Hiroshima 739 Japan
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Abstract

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This paper treats the quasilinear elliptic inequality

where N ≥ 2, m > 1, σ >m− 1, and p:ℝN → (0, ∞) is continuous. Sufficient conditions are given for this inequality to have no positive entire solutions. When p has radial symmetry, the existence of positive entire solutions can be characterized by our results and some known results.

Keywords

35J7035B05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 2 , 01 June 1997 , pp. 244 - 253
Copyright
Copyright © Canadian Mathematical Society 1997

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