Infinitely many solutions for a class of stationary Schrodinger equations with non-standard growth

被引：1
|
作者：
Ayazoglu , R. [1 ]
Alisoy, Gulizar [2 ]
机构：
[1] Bayburt Univ, Fac Educ, Bayburt, Turkey
[2] Namik Kemal Univ, Fac Sci & Arts, Tekirdag, Turkey
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2018年 / 63卷 / 04期
关键词：
Variable exponent Lebesgue-Sobolev spaces; p(x)-Laplace operator; Schrodinger type equation; variant Fountain theorem; P(X)-LAPLACIAN EQUATIONS; VARIABLE EXPONENT; EXISTENCE; SPACES; MULTIPLICITY; THEOREMS; LEBESGUE;
D O I：
10.1080/17476933.2017.1322074
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the existence of infinitely many solutions for a class of stationary Schrodinger type equations in R-N involving the p(x)-Laplacian. The non-linearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. The main arguments are based on the geometry supplied by Fountain Theorem. We also establish a Bartsch type compact embedding theorem for variable exponent spaces.
引用
收藏
页码：482 / 500
页数：19
相关论文
共 50 条
  • [1] INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRODINGER EQUATIONS
    Zhang, Wei
    Li, Gui-Dong
    Tang, Chun-Lei
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2018, 8 (05): : 1475 - 1493
  • [2] INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRODINGER EQUATIONS
    Chen, Jing
    Tang, X. H.
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (02): : 381 - 396
  • [3] INFINITELY MANY SOLUTIONS FOR A CLASS OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS
    Duan, Yuanyuan
    He, Rui
    Liu, Xiangqing
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [4] Infinitely many solutions for the Schrodinger equations in RN with critical growth
    Chen, Wenyi
    Wei, Juncheng
    Yan, Shusen
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2012, 252 (03) : 2425 - 2447
  • [5] Remarks on infinitely many solutions for a class of Schrodinger equations with sublinear nonlinearity
    Cheng, Rong
    Wu, Yijia
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (15) : 8527 - 8537
  • [6] Infinitely many solutions for a class of sublinear Schrodinger equations with indefinite potentials
    Bahrouni, Anouar
    Ounaies, Hichem
    Radulescu, Vicentiu D.
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2015, 145 (03) : 445 - 465
  • [7] Infinitely many solutions for a class of sublinear Schrodinger-Maxwell equations
    Sun, Juntao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 390 (02) : 514 - 522
  • [8] Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight
    Shen, Zifei
    Qian, Chenyin
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2015, 66 (02): : 399 - 415
  • [9] Infinitely many solutions for a Kirchhoff-type problem with non-standard growth and indefinite weight
    Zifei Shen
    Chenyin Qian
    Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 399 - 415
  • [10] Infinitely many solutions for a class of sublinear fractional Schrodinger equations with indefinite potentials
    Guan, Wen
    Wang, Bin
    Hao, Xinan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
12345