JournalsrlmVol. 18 , No. 1DOI 10.4171/rlm/482

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

Abstract

In this paper we give some multiplicity results on existence of nontrivial solutions for superlinear elliptic equations with a saddle structure near 00. We make use of a combination of bifurcation theory and minimax methods.