Fernández Bonder, Julián Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities. (English) Zbl 1129.35372 Abstr. Appl. Anal. 2004, No. 12, 1047-1055 (2004). Summary: Using variational arguments, we prove some nonexistence and multiplicity results for positive solutions of a system of \(p\)-Laplace equations of gradient form. Then we study a \(p\)-Laplace-type problem with nonlinear boundary conditions. Cited in 15 Documents MSC: 35J60 Nonlinear elliptic equations 35J20 Variational methods for second-order elliptic equations 35J50 Variational methods for elliptic systems 35J65 Nonlinear boundary value problems for linear elliptic equations 35P30 Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs 58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces PDFBibTeX XMLCite \textit{J. Fernández Bonder}, Abstr. Appl. Anal. 2004, No. 12, 1047--1055 (2004; Zbl 1129.35372) Full Text: DOI EuDML