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2004 Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems
Thomas Bartsch, Zhaoli Liu
Adv. Differential Equations 9(5-6): 645-676 (2004).

Abstract

We develop critical-point theory in Banach spaces in order to find critical points inside or outside of given convex subsets of the space. In addition to localizing critical points we also obtain results on their critical groups. The abstract theory can be applied to $p$-Laplacian equations in order to prove the existence of multiple sign-changing solutions.

Citation

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Thomas Bartsch. Zhaoli Liu. "Location and critical groups of critical points in Banach spaces with an application to nonlinear eigenvalue problems." Adv. Differential Equations 9 (5-6) 645 - 676, 2004.

Information

Published: 2004
First available in Project Euclid: 18 December 2012

zbMATH: 1100.58005
MathSciNet: MR2099975

Subjects:
Primary: 58E05
Secondary: 35J25, 35J60, 35P30

Rights: Copyright © 2004 Khayyam Publishing, Inc.

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Vol.9 • No. 5-6 • 2004
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