On (p, q) − equations with concave terms

We consider a (p, q)− equation (1 < q < p, p ≥ 2) with a parametric concave term and a (p − 1)− linear perturbation. We show that the problem have five nontrivial smooth solutions: four of constant sign and the fifth nodal. When q = 2 (i.e., (p, 2) equation) we show that the problem has six no...

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Bibliographic Details
Main Author: Papageorgiou, Nikolaos S. (author)
Other Authors: Santos, Sandrina R. A. (author), Staicu, Vasile (author)
Format: article
Language:eng
Published: 2016
Subjects:
Online Access:http://hdl.handle.net/10773/16196
Country:Portugal
Oai:oai:ria.ua.pt:10773/16196