Liouville Theorem for Some Elliptic Equations with Weights and Finite Morse Indices
We establish the nonexistence of solution for the following nonlinear elliptic problem with weights: -Δu=(1+|x|α)|u|p-1u in RN, where α is a positive parameter. Suppose that 1<p<N+2/N-2, α>(N-2)(p+1)/2-N for N≥3 or p>1, α>-2 for N=2; we will show that this equation does not possess no...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2016-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2016/3495170 |