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Partial regularity of finite Morse index solutions to the Lane-Emden equation |
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| Authors: | Juan Dá vila,Alberto Farina |
| Affiliation: | a Departamento de Ingeniería Matemática and CMM, Universidad de Chile, Casilla 170/3 Correo 3, Santiago, Chile b LAMFA, UMR CNRS 6140, Université Picardie Jules Verne, 33, rue St Leu, 80039 Amiens, France |
| Abstract: | We prove regularity and partial regularity results for finite Morse index solutions u∈H1(Ω)∩Lp(Ω) to the Lane-Emden equation −Δu=|u|p−1u in Ω. |
| Keywords: | Semilinear elliptic PDE Lane-Emden equation Partial regularity Stability |
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