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

页码：943 / 984

页数：42

共 50 条

[1] A multiplicity result for a (p, q)-Schrödinger–Kirchhoff type equation
Vincenzo Ambrosio
Teresa Isernia
Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 943 - 984
[2] Existence and multiplicity of solutions for a Schrodinger-Kirchhoff type equation involving the fractional p(.,.)-Laplacian operator in RN
Ayazoglu, Rabil
Sarac, Yesim
Sener, S. Sule
Alisoy, Gulizar
COLLECTANEA MATHEMATICA, 2021, 72 (01) : 129 - 156
[3] A New Result on Multiplicity of Nontrivial Solutions for the Nonhomogenous Schrodinger-Kirchhoff Type Problem in RN
Cheng, Bitao
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (03) : 1099 - 1116
[4] Existence and multiplicity of solutions for fractional p-Laplacian Schrodinger-Kirchhoff type equations
Nyamoradi, Nemat
Zaidan, Lahib Ibrahim
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2018, 63 (03) : 346 - 359
[5] Concentration phenomena for a fractional Schrodinger-Kirchhoff type equation
Ambrosio, Vincenzo
Isernia, Teresa
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (02) : 615 - 645
[6] Existence and multiplicity of solutions for Schrodinger-Kirchhoff type problems involving the fractional p(.)-Laplacian in RN
Kim, In Hyoun
Kim, Yun-Ho
Park, Kisoeb
BOUNDARY VALUE PROBLEMS, 2020, 2020 (01):
[7] Solutions for a Schrodinger-Kirchhoff Equation with Indefinite Potentials
Batista, Alex M.
Furtado, Marcelo F.
MILAN JOURNAL OF MATHEMATICS, 2018, 86 (01) : 1 - 14
[8] A new result on high energy solutions for Schrodinger-Kirchhoff type equations in RN
Li, Quanqing
Wu, Xian
APPLIED MATHEMATICS LETTERS, 2014, 30 : 24 - 27
[9] Existence and multiplicity of solutions for asymptotically linear Schrodinger-Kirchhoff equations
Wu, Yue
Liu, Shibo
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 26 : 191 - 198
[10] MULTIPLICITY AND CONCENTRATION BEHAVIOUR OF POSITIVE SOLUTIONS FOR SCHRODINGER-KIRCHHOFF TYPE EQUATIONS INVOLVING THE p-LAPLACIAN IN RN
Jia, Huifang
Li, Gongbao
ACTA MATHEMATICA SCIENTIA, 2018, 38 (02) : 391 - 418

← 1 2 3 4 5 →