In this paper, we prove the existence of infinitely many singular ground states for the semilinear elliptic equation Delta u - u + u(p) = 0 for 1 < p < (n + 2)/(n - 2), n greater than or equal to 3. We also prove that the related Dirichlet problem on a ball has infinitely many singular solutions. The asymptotic behaviors are also discussed.
Singular solutions of the elliptic equation \Du - u + u^p = 0 / R. Johnson; X.-B. Pan; Y.-F. Yi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 156:(1994), pp. 203-225. [10.1007/BF01765635]
Singular solutions of the elliptic equation \Du - u + u^p = 0
JOHNSON, RUSSELL ALLAN;
1994
Abstract
In this paper, we prove the existence of infinitely many singular ground states for the semilinear elliptic equation Delta u - u + u(p) = 0 for 1 < p < (n + 2)/(n - 2), n greater than or equal to 3. We also prove that the related Dirichlet problem on a ball has infinitely many singular solutions. The asymptotic behaviors are also discussed.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
