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On the Fucik spectrum for elliptic systems

Articolo
Data di Pubblicazione:
2006
Citazione:
On the Fucik spectrum for elliptic systems / E. Massa, B. Ruf. - In: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS. - ISSN 1230-3429. - 27:2(2006), pp. 195-228.
Abstract:
We propose an extension of the concept of Fucik spectrum to the case of coupled systems of two elliptic equations, we study its structure and some applications. We show that near a simple eigenvalue of the system, the Fucik spectrum consists (after a suitable reparametrization) of two (maybe coincident) 2-dimensional surfaces. Furthermore by variational methods, parts of the Fucik spectrum which lie far away from the diagonal, (i.e. from the eigenvalues) are found. As application, some existence, non-existence and multiplicity results to systems with eigenvalue crossing ("jumping") nonlinearities are proved.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
elliptic system; Fucik spectrum; variational methods; topological degree
Elenco autori:
E. Massa, B. Ruf
Link alla scheda completa:
https://air.unimi.it/handle/2434/23449
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Settore MAT/05 - Analisi Matematica
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