Existence and Nonexistence of Positive Solutions for a Weighted Quasilinear Elliptic System
This paper deals with the existence and nonexistence of solutions for the following weighted quasilinear elliptic system, Sμ1,μ2q1,q2−divq1x∇up−2∇u=μ1up−2u+α+1uα−1uvβ+1in Ω−divq2x∇vp−2∇v=μ2vp−2v+β+1uα+1vβ−1vin Ωu>0, v>0in Ωu=v=0on ∂Ω , where Ω⊂ℜNN≥3,2≤p<N, q1, q2∈W1,pΩ∩CΩ¯, α,β≥0, μ1, μ2,...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/8629590 |