JournalsrlmVol. 18, No. 1pp. 97–108

Multiple solutions of superlinear elliptic equations

  • Paul H. Rabinowitz

    University of Wisconsin, Madison, United States

  • Zhi-Qiang Wang

    Utah State University, Logan, United States

  • Jiabao Su

    Capital Normal University, Beijing, China
Multiple solutions of superlinear elliptic equations cover
Download PDF

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