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Abstract
In this paper, we study the first eigenvalue for a quasilinear Schrödinger operator, which is greater than the first eigenvalue of the usual laplacian operator. As an application we treat a quasilinear resonance problem involving a subcritical growth perturbation.
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Notes
No potential conflict of interest was reported by the authors.
Additional information
Funding
O. H. Miyagaki received research grants from CNPq/Brazil [grant number 304015/2014-8] and INCTMAT/CNPQ/Brazil, R. Ruviaro received research grants from FAPDF/Brazil [193.000.939/2015].