Classification of stable solutions for non-homogeneous higher-order elliptic PDEs
Abstract Under some assumptions on the nonlinearity f, we will study the nonexistence of nontrivial stable solutions or solutions which are stable outside a compact set of R n $\mathbb {R}^{n}$ for the following semilinear higher-order problem: ( − Δ ) k u = f ( u ) in R n , $$\begin{aligned} (-\De...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1352-9 |