Author:
Cai Li,Papageorgiou Nikolaos S.,Rădulescu Vicenţiu D.
Abstract
AbstractWe consider a nonlinear parametric Dirichlet problem driven by the double phase differential operator. Using variational tools combined with critical groups, we show that for all small values of the parameter, the problem has at least three nontrivial bounded solutions which are ordered and we provide the sign information for all of them. Two solutions are of constant sign and the third one is nodal. Finally, we determine the asymptotic behavior of the nodal solution as the parameter converges to zero.
Funder
Government of Jiangsu Province
China Scholarship Council
Ministerul Cercetării şi Inovării
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics
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