Multiple solutions of superlinear elliptic equations

Paul H. Rabinowitz; Jiabao Su; Zhi-Qiang Wang

doi:10.4171/rlm/482

JournalsrlmVol. 18, No. 1pp. 97–108

Multiple solutions of superlinear elliptic equations

Paul H. Rabinowitz
University of Wisconsin, Madison, United States
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Jiabao Su
Capital Normal University, Beijing, China
- MathSciNet
- zbMATH Open
Zhi-Qiang Wang
Utah State University, Logan, United States
- MathSciNet
- zbMATH Open

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Abstract

In this paper we give some multiplicity results on existence of nontrivial solutions for superlinear elliptic equations with a saddle structure near $0$ . We make use of a combination of bifurcation theory and minimax methods.

Cite this article

Paul H. Rabinowitz, Jiabao Su, Zhi-Qiang Wang, Multiple solutions of superlinear elliptic equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 18 (2007), no. 1, pp. 97–108

DOI 10.4171/RLM/482