Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590664 | Journal of Functional Analysis | 2012 | 23 Pages |
Abstract
We investigate here the nonlinear elliptic equations −Δu=α|x|eu and −Δu=α|x||u|p−1u with α>−2, p>1 and N⩾2. In particular, we prove some Liouville type theorems for weak solutions with finite Morse index in the low dimensional Euclidean spaces or half spaces.
Related Topics
Physical Sciences and Engineering
Mathematics
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