Data di Pubblicazione:
2010
Citazione:
Multiplicity of solutions for a superlinear p-Laplacian equation / F. Torre, B. Ruf. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 73:7(2010), pp. 2132-2147.
Abstract:
We consider quasi-linear elliptic equations involving the p-Laplacian with nonlinearities
which interfere asymptotically with the spectrum of the differential operator. We show
that such equations have for certain forcing terms at least two solutions. Such equations are
of the so-called Ambrosetti Prodi type. In particular, our theorem is a partial generalization
of corresponding results for the semi-linear case by Ruf and Srikanth (1986) and de
Figueiredo (1988).
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
p-Laplacian ; Ambrosetti Prodi problem ; Multiple solutions
Linking theorem
Elenco autori:
F. Torre, B. Ruf
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