Multiplicity results are proved for the nonlinear elliptic system in a bounded domain in R^n with smooth boundary and a nonlinear nonlinear C^1-function g which satisfies additional conditions. No assumption of symmetry on g is imposed. Extensive use is made of a global version of the Lyapunov–Schmidt reduction method due to Castro and Lazer and of symmetric versions of the Mountain Pass Theorem.
On a nonlinear elliptic system with symmetric coupling / O. Agudelo, B. Ruf, C. Vélez. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 75:11(2012 Jul), pp. 4315-4324.
On a nonlinear elliptic system with symmetric coupling
B. RufSecondo
;
2012
Abstract
Multiplicity results are proved for the nonlinear elliptic system in a bounded domain in R^n with smooth boundary and a nonlinear nonlinear C^1-function g which satisfies additional conditions. No assumption of symmetry on g is imposed. Extensive use is made of a global version of the Lyapunov–Schmidt reduction method due to Castro and Lazer and of symmetric versions of the Mountain Pass Theorem.
| File | Dimensione | Formato | |
|---|---|---|---|
|
ARV-7.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
290.4 kB
Formato
Adobe PDF
|
290.4 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I metadati presenti in AIR sono rilasciati con licenza CCO mentre i file delle pubblicazioni sono rilasciati con licenza CC BY-SA, salvo diversa indicazione. In caso di violazione di copyright, contattare l'assistenza di AIR
