Three solutions for parametric problems with nonhomogeneous (a, 2)-type differential operators and reaction terms sublinear at zero

[摘要] We consider parametric Dirichlet problems driven by the sum of a Laplacian and a nonhomogeneous differential operator ((a, 2)-type equation) and with a reaction term which exhibits arbitrary polynomial growth and a nonlinear dependence on the parameter. We prove the existence of three distinct nontrivial smooth solutions for small values of the parameter, providing sign information for them: one is positive, one is negative and the third one is nodal. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-01

[关键词] (a, 2)-operator;Constant sign solutions;Nodal solutions;Multiplicity of solutions;Nonhomogeneous operator