Squassina, Marco On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation. (English) Zbl 1057.35007 Electron. J. Differ. Equ. 2001, Paper No. 63, 10 p. (2001). Summary: We are concerned with the existence of two solutions for a fully nonlinear Emden-Fowler type equation. One solution is obtained via local minimization while the second solution follows by a mountain pass argument. A non-existence result in strictly star-shaped domains is also proven. MSC: 35D05 Existence of generalized solutions of PDE (MSC2000) 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces Keywords:Trudinger-Moser inequality; Euler’s equations; exponential growth; Palais-Smale condition PDFBibTeX XMLCite \textit{M. Squassina}, Electron. J. Differ. Equ. 2001, Paper No. 63, 10 p. (2001; Zbl 1057.35007) Full Text: EuDML EMIS