We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a Caratheodory reaction term which is resonant both at zero and ± ∞. Using the Lyapunov–Schmidt reduction method and critical groups (Morse theory), we show that the problem has at least two nontrivial smooth solutions.
Papageorgiou, N.S.*, Vetro, C., Vetro, F. (2019). Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity. MANUSCRIPTA MATHEMATICA, 158(3-4), 487-503 [10.1007/s00229-018-1044-x].
Pairs of solutions for Robin problems with an indefinite and unbounded potential, resonant at zero and infinity
Vetro, Calogero;Vetro, Francesca
2019-01-01
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential and a Caratheodory reaction term which is resonant both at zero and ± ∞. Using the Lyapunov–Schmidt reduction method and critical groups (Morse theory), we show that the problem has at least two nontrivial smooth solutions.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2019_MM_PapageorgiouVetroVetro.pdf
Solo gestori archvio
Descrizione: Articolo principale
Tipologia:
Versione Editoriale
Dimensione
430.14 kB
Formato
Adobe PDF
|
430.14 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
|
10447_345082-PVV-MAMA.pdf
accesso aperto
Tipologia:
Post-print
Dimensione
322.6 kB
Formato
Adobe PDF
|
322.6 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
