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November/December 2009 A fibering map approach to a potential operator equation and its applications
Kenneth J. Brown, Tsung-Fang Wu
Differential Integral Equations 22(11/12): 1097-1114 (November/December 2009).

Abstract

In this paper, we study the existence of multiple solutions for operator equations involving homogeneous potential operators. With the help of the Nehari manifold and the fibering method, we prove that some such equations have at least two nonzero solutions. Furthermore, we apply this result to prove the existence of two positive solutions for some quasilinear elliptic problems involving sign-changing weight functions.

Citation

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Kenneth J. Brown. Tsung-Fang Wu. "A fibering map approach to a potential operator equation and its applications." Differential Integral Equations 22 (11/12) 1097 - 1114, November/December 2009.

Information

Published: November/December 2009
First available in Project Euclid: 20 December 2012

zbMATH: 1240.35569
MathSciNet: MR2555638

Subjects:
Primary: 35J20
Secondary: 35R20

Rights: Copyright © 2009 Khayyam Publishing, Inc.

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Vol.22 • No. 11/12 • November/December 2009
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