Resonant-Superlinear Nonhomogeneous Dirichlet Problems  

作　　者：Zhen Hai LIU Nikolaos S.PAPAGEORGIOU 

机构地区：[1]Center for Applied Mathematics of Guangxi,Yulin Normal University,Yulin 537000,P.R.China [2]Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation,College of Mathematics and Physics,Guangxi Minzu University,Nanning 530006,P.R.China [3]Department of Mathematics,National Technical University,Zografou Campus,15780 Athens,Greece

出　　处：《Acta Mathematica Sinica,English Series》2023年第11期2091-2116,共26页数学学报（英文版）

基　　金：NNSF of China(Grant No.12071413);NSF of Guangxi(Grant No.2023GXNSFAA026085);the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement No.823731 CONMECH。

摘　　要：We consider a Dirichlet nonlinear equation driven by the(p,2)-Laplacian and with a reaction having the competing effects of a parametric asymmetric superlinear term and a resonant perturbation.We show that for all small values of the parameter the problem has at least five nontrivial smooth solutions all with sign information.

关 键 词：Asymmetric reaction resonance superlinear term nonlinear regularity comparison principle critical groups solutions with sign information 

分 类 号：O175.29[理学—数学]