An overview over some aspects of the Fucik spectrum are given, in particular in the situation when the problem is invariant under some compact group action. Some recent results concerning the complexity of the Fucik specturm are discussed, and some open problems are studied. In the final section, based on the mentioned structure of the Fucik spectrum, a new multiplicity result for a related equation with asymptotic interference with the spectrum is given.
On the Fucik Spectrum for Equations with Symmetries / B. Ruf - In: Nonlinear elliptic partial differential equations / [a cura di] D. Bonheure, M. Cuesta, E. J. Lami Dozo, P. Takac, J. Van Schaftingen, M. Willem. - [s.l] : AMS, 2011. - ISBN 9780821849071. - pp. 15-34 [10.1090/conm/540]
On the Fucik Spectrum for Equations with Symmetries
B. Ruf
2011
Abstract
An overview over some aspects of the Fucik spectrum are given, in particular in the situation when the problem is invariant under some compact group action. Some recent results concerning the complexity of the Fucik specturm are discussed, and some open problems are studied. In the final section, based on the mentioned structure of the Fucik spectrum, a new multiplicity result for a related equation with asymptotic interference with the spectrum is given.File | Dimensione | Formato | |
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