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Classification and
Liouville-type theorems for semilinear elliptic equations in
unbounded domains
Louis Dupaigne and Alberto Farina |
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Vol. 15 (2022), No. 2, 551–566
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Abstract |
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We classify stable and finite Morse index solutions to general semilinear elliptic equations posed in Euclidean space of dimension at most 10 and in some unbounded domains of dimension at most 11. |
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Keywords
semilinear elliptic PDEs, Liouville-type theorems, stable
solutions
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Mathematical Subject Classification
Primary: 35J15
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Milestones
Received: 25 May 2020
Revised: 3 August 2020
Accepted: 6 October 2020
Published: 12 April 2022
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Authors |
| Louis Dupaigne | |
| Institut Camille Jordan UMR CNRS 5208 Université Claude Bernard Lyon 1 Villeurbanne France |
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| Alberto Farina | |
| LAMFA, UMR CNRS 7352 Université Picardie Jules Verne Amiens France |
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