A multiplicity result for a (p, q)-Schrodinger-Kirchhoff type equation

被引：19
|
作者：
Ambrosio, Vincenzo [1 ]
Isernia, Teresa [1 ]
机构：
[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Via Brecce Bianche 12, I-60131 Ancona, Italy
来源：
ANNALI DI MATEMATICA PURA ED APPLICATA | 2022年 / 201卷 / 02期
关键词：
(p; q)-Laplacian problem; Penalization technique; Lusternik-Schnirelman category theory; KIRCHHOFF-TYPE PROBLEM; POSITIVE BOUND-STATES; Q-LAPLACIAN PROBLEM; ELLIPTIC PROBLEMS; SCHRODINGER-EQUATION; NONTRIVIAL SOLUTIONS; SUPERLINEAR (P; R-N; EXISTENCE; REGULARITY;
D O I：
10.1007/s10231-021-01145-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a class of (p, q)-Schrodinger-Kirchhoff type equations involving a continuous positive potential satisfying del Pino-Felmer type conditions and a continuous nonlinearity with subcritical growth at infinity. By applying variational methods, penalization techniques and Lusternik-Schnirelman category theory, we relate the number of positive solutions with the topology of the set where the potential attains its minimum values.
引用
收藏
页码：943 / 984
页数：42
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