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Multiplicity results for a superlinear elliptic system with partial interference with the spectrum

✍ Scribed by Eugenio Massa

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 211 KB
Volume: 67
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.05.011

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✦ Synopsis

In this work, we consider an elliptic system of two equations in dimension greater than one, with nonlinearities which are linear at -∞ and superlinear at +∞.

We prove, by variational techniques which involve a strongly indefinite functional, the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with the eigenvalues of the operator.

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