Multiple solutions of superlinear elliptic equations
Paul H. Rabinowitz
University of Wisconsin, Madison, United StatesZhi-Qiang Wang
Utah State University, Logan, United StatesJiabao Su
Capital Normal University, Beijing, China
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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 . We make use of a combination of bifurcation theory and minimax methods.
Cite this article
Paul H. Rabinowitz, Zhi-Qiang Wang, Jiabao Su, 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