Liu, Jiaquan; Liu, Shibo The existence of multiple solutions to quasilinear elliptic equations. (English) Zbl 1122.35033 Bull. Lond. Math. Soc. 37, No. 4, 592-600 (2005). Summary: Using Morse theory and the truncation technique, a proof is given of the existence of at least three nontrivial solutions for a class of \(p\)-Laplacian equations. When \(p=2\), the existence of four nontrivial solutions is also considered. Cited in 28 Documents MSC: 35J60 Nonlinear elliptic equations 35D05 Existence of generalized solutions of PDE (MSC2000) 47J30 Variational methods involving nonlinear operators 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces PDF BibTeX XML Cite \textit{J. Liu} and \textit{S. Liu}, Bull. Lond. Math. Soc. 37, No. 4, 592--600 (2005; Zbl 1122.35033) Full Text: DOI