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A Liouville theorem for the p-Laplacian and related questions
Alberto Farina,
Carlo Mercuri,
Michel Willem
Calculus of Variations and Partial Differential Equations, Volume: 58, Issue: 4
Swansea University Author: Carlo Mercuri
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DOI (Published version): 10.1007/s00526-019-1596-y
Abstract
We obtain several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changingsolutions to p-Laplacian equations involving critical growth nonlinearities. Some of these are derived by the Morse index associated with the solut...
| Published in: | Calculus of Variations and Partial Differential Equations |
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| ISSN: | 0944-2669 1432-0835 |
| Published: |
2019
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa51017 |
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| Abstract: |
We obtain several classification results for p-Laplacian problems on bounded and unbounded domains, and deal with qualitative properties of sign-changingsolutions to p-Laplacian equations involving critical growth nonlinearities. Some of these are derived by the Morse index associated with the solutions. These resuts, in a radial setting allow to characterise the compactness of possibly sign-changing Palais-Smale sequences. |
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| Keywords: |
Liouville-type theorems, quasilinear equations, Morse index, sign-changing solutions, nonexistence, Palais-Smale sequences |
| College: |
Faculty of Science and Engineering |
| Issue: |
4 |