2001 Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations
Ryuji Kajikiya
Adv. Differential Equations 6(11): 1317-1346 (2001). DOI: 10.57262/ade/1357139963

Abstract

This paper deals with a sublinear elliptic equation $\Delta u + f(u)=0$ in a ball with the Dirichlet condition $u=0$ on the boundary. Under a suitable assumption on $f(\cdot)$, we establish the necessary and sufficient condition for the existence and uniqueness of radially symmetric nodal solutions.

Citation

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Ryuji Kajikiya. "Necessary and sufficient condition for existence and uniqueness of nodal solutions to sublinear elliptic equations." Adv. Differential Equations 6 (11) 1317 - 1346, 2001. https://doi.org/10.57262/ade/1357139963

Information

Published: 2001
First available in Project Euclid: 2 January 2013

zbMATH: 1010.35040
MathSciNet: MR1859350
Digital Object Identifier: 10.57262/ade/1357139963

Subjects:
Primary: 35J60
Secondary: 35B05 , 35J65

Rights: Copyright © 2001 Khayyam Publishing, Inc.

Vol.6 • No. 11 • 2001
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