ARBITRARILY SMALL NODAL SOLUTIONS FOR PARAMETRIC ROBIN(p,q)-EQUATIONS PLUS AN INDEFINITE POTENTIAL  

作　　者：Salvatore LEONARDI Nikolaos S.PAPAGEORGIOU 

机构地区：[1]Dipartimento di Matematica e Informatica,Viale A.Doria,695125 Catania,Italy [2]Technical University,Department of Mathematics,Zorografou Campus,Athens 15780,Greece

出　　处：《Acta Mathematica Scientia》2022年第2期561-574,共14页数学物理学报（B辑英文版）

基　　金：supported by Piano della Ricerca di Ateneo 2020-2022-PIACERIProject MO.S.A.I.C;"Monitoraggio satellitare,modellazioni matematiche e soluzioni architettoniche e urbane per lo studio,la previsione e la mitigazione delle isole di calore urbano",Project EEEP&DLaD.S。

摘　　要：We consider a nonlinear Robin problem driven by the(p,q)-Laplacian plus an indefinite potential term and with a parametric reaction term.Under minimal conditions on the reaction function,which concern only its behavior near zero,we show that,for all λ>0 small,the problem has a nodal solution y_(λ)∈C^(1)(Ω)and we have y_(λ)→0 in C^(1)(Ω)asλ→0^(+).

关 键 词：(p q)-Laplacian indefinite potential nonlinear regularity extremal constant sign solutions nodal solutions 

分 类 号：O175.3[理学—数学]