Multiplicity Results for p-Laplacian with Critical Nonlinearity of Concave-Convex Type and Sign-Changing Weight Functions
The multiple results of positive solutions for the following quasilinear elliptic equation: −Δ𝑝𝑢=𝜆𝑓(𝑥)|𝑢|𝑞−2𝑢+𝑔(𝑥)|𝑢|𝑝∗−2𝑢 in Ω,𝑢=0 on 𝜕Ω, are established. Here, 0∈Ω is a bounded smooth domain in ℝ𝑁,Δ𝑝 denotes the 𝑝-Laplacian operator, 1≤𝑞<𝑝<𝑁,𝑝∗=𝑁𝑝/(𝑁−𝑝),𝜆 is a positive real parameter, and 𝑓,...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/652109 |