no. 3
On the shape of solutions of an asymptotically linear problem
Grossi, Massimo1
1 Dipartimento di Matematica, Sapienza Università di Roma, Piazzale A. Moro, 2, 00185 Roma, Italia
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 8 (2009) no. 3, pp. 429-449.

In this paper we study the problem ( 0 . 1 ) - Δ u = | u | ϵ u in Ω u = 0 on ∂ Ω where Ω is a smooth bounded domain of ℝ N , N ≥ 1 , ϵ > 0 . We will show that, under some assumptions, the solutions to (0.1) are close to suitable linear combinations of eigenfunctions of the problem - Δ u = λ u in Ω u = 0 on ∂ Ω .

Classification: 35J60
Grossi, Massimo 1

1 Dipartimento di Matematica, Sapienza Università di Roma, Piazzale A. Moro, 2, 00185 Roma, Italia 
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Grossi, Massimo. On the shape of solutions of an asymptotically linear problem. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 5, Volume 8 (2009) no. 3, pp. 429-449. http://www.numdam.org/item/ASNSP_2009_5_8_3_429_0/

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