We consider families of positive solutions to the Lane Emden problem in a bounded planar domain satisfying an energy bound and we give a complete description of the asymptotic behavior of such solutions as the exponent p tends to +oo.

Asymptotic analysis for the Lane-Emden problem in dimension two / DE MARCHIS, Francesca; Ianni, Isabella; Pacella, Filomena. - STAMPA. - ...(2019), pp. 215-252. - LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES.

Asymptotic analysis for the Lane-Emden problem in dimension two

DE MARCHIS, FRANCESCA;IANNI, ISABELLA;PACELLA, Filomena
2019

Abstract

We consider families of positive solutions to the Lane Emden problem in a bounded planar domain satisfying an energy bound and we give a complete description of the asymptotic behavior of such solutions as the exponent p tends to +oo.
2019
Partial Differential Equations arising from Physics and Geometry - A Volume in Memory of Abbas Bahri
9781108431637
semilinear elliptic equations, superlinear elliptic boundary value problems, asymptotic analysis, concentration of solutions, positive solutions.
02 Pubblicazione su volume::02a Capitolo o Articolo
Asymptotic analysis for the Lane-Emden problem in dimension two / DE MARCHIS, Francesca; Ianni, Isabella; Pacella, Filomena. - STAMPA. - ...(2019), pp. 215-252. - LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/870272
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