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.
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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. 97–108DOI 10.4171/RLM/482