The multiple results of positive solutions for the following quasilinearelliptic equation: in , on , are established. Here, is a bounded smooth domain in denotes the -Laplacian operator, is a positive real parameter, and are continuous functions on which are somewhere positive but which may change sign on . The study is based on the extraction of Palais-Smale sequences in the Nehari manifold.
"Multiplicity Results for -Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions." Abstr. Appl. Anal. 2009 1 - 24, 2009. https://doi.org/10.1155/2009/652109