Existence and Concentration of Sign-Changing Solutions of Quasilinear Choquard Equation  

作　　者：Die Wang Yuqi Wang Shaoxiong Chen Die Wang;Yuqi Wang;Shaoxiong Chen(Department of Mathematics, Yunnan Normal University, Kunming, China)

机构地区：[1]Department of Mathematics, Yunnan Normal University, Kunming, China

出　　处：《Journal of Applied Mathematics and Physics》2023年第4期1124-1151,共28页应用数学与应用物理（英文）

摘　　要：In this paper, we study the following quasilinear equation of choquard type: where A(x,t) is given real functions on R^N × R and with N ≥ 3, 1 p N, max{N-2p,1} α N, , and ε > 0 is a small parameter, I_α is the Riesz potential. We establish for small ε the existence of a sequence of sign-changing solutions concentrating near a given local minimum point of the bounded potential function V by using the method of invariant sets of descending flow, perturbation method and truncation technique. .In this paper, we study the following quasilinear equation of choquard type: where A(x,t) is given real functions on R^N × R and with N ≥ 3, 1 p N, max{N-2p,1} α N, , and ε > 0 is a small parameter, I_α is the Riesz potential. We establish for small ε the existence of a sequence of sign-changing solutions concentrating near a given local minimum point of the bounded potential function V by using the method of invariant sets of descending flow, perturbation method and truncation technique. .

关 键 词：Quasilinear Choquard Equation The Method of Invariant Sets of Descending Flow TRUNCATION Sign-Changing Solutions 

分 类 号：O17[理学—数学]