Please use this identifier to cite or link to this item:
|Title:||Constant sign and nodal solutions for nonlinear elliptic equations with combined nonlinearities|
Papageorgiou, N. S.
|Abstract:||We study a parametric nonlinear Dirichlet problem driven by a nonhomogeneous differential operator and with a reaction which is ”concave” (i.e., (p − 1)− sublinear) near zero and ”convex” (i.e., (p − 1)− superlinear) near ±1. Using variational methods combined with truncation and comparison techniques, we show that for all small values of the parameter > 0, the problem has at least five nontrivial smooth solutions (four of constant sign and the fifth nodal). In the Hilbert space case (p = 2), using Morse theory, we produce a sixth nontrivial smooth solution but we do not determine its sign.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
Files in This Item:
|P65_MAA_22(2015)_221-248.pdf||Main article||266.66 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.