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

被引：21

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 52 条

[1]

Adams RA, 1975, SOBOLEV SPACES PURE

[2] Multiplicity and concentration of positive solutions for a class of quasilinear problems through Orlicz-Sobolev space [J].

Alves, Claudianor O. ;

da Silva, Ailton R. .

JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (11)

[3]

Alves CO, 2011, ADV NONLINEAR STUD, V11, P265

[4] On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in RN [J].

Alves, Claudianor O. ;

Figueiredo, Giovany M. .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (03) :1288-1311

[5]

Alves CO, 2005, ADV NONLINEAR STUD, V5, P551

[6]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[7]

Ambrosio V, 2021, Z ANGEW MATH PHYS, V72, DOI 10.1007/s00033-020-01466-7

[8]

[Anonymous], 2004, Commun. Pure Appl. Anal

[9] On a class of superlinear (p, q)-Laplacian type equations on RN [J].

Bartolo, R. ;

Candela, A. M. ;

Salvatore, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 438 (01) :29-41

[10] MULTIPLE POSITIVE SOLUTIONS OF SOME ELLIPTIC PROBLEMS VIA THE MORSE-THEORY AND THE DOMAIN TOPOLOGY [J].

BENCI, V ;

CERAMI, G .

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 1994, 2 (01) :29-48

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