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Infinitely many solutions for a superlinear elliptic equation. (Chinese. English summary) Zbl 1081.35043
Summary: We consider a superlinear elliptic equation, where the nonlinearity is odd. Under no Ambrosetti-Rabinowitz’s condition, infinitely many large energy solutions are obtained. Our result generalizes the recent result of W. M. Zou [Manuscr. Math. 104, 343–358 (2001; Zbl 0976.35026)].

MSC:
35J65 Nonlinear boundary value problems for linear elliptic equations
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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