JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 117-122.doi: 10.6040/j.issn.1671-9352.0.2024.112
Previous Articles Next Articles
CHENG Rong, WANG Jinshui
CLC Number:
| [1] BARTSCH T, WILLEM M. Infinitely many radial solutions of a semilinear elliptic problem on RN[J]. Archive for Rational Mechanics and Analysis, 1993, 124:261-276. [2] YANG Mingbo. Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities[J]. Nonlinear Analysis, 2009, 72:2620-2627. [3] CHEN Shangjie, TANG Chunlei. High energy solutions for the Schrödinger-Maxwell equations[J]. Nonlinear Analysis, 2009, 71:4927-4934. [4] MAO Anmin, YANG Lijuan, QIAN Aixia, et al. Existence and concentration of solutions of Schrödinger-Poisson system[J]. Applied Mathematics Letters, 2017, 68:8-12. [5] TANG Xianhua. Ground state solutions for superlinear Schrödinger equation[J]. Advanced Nonlinear Studies, 2014, 14:349-361. [6] SUN Juntao. Infinitely many solutions for a class of sublinear Schrödinger-Maxwell equation[J]. Journal of Mathematical Analysis and Applications, 2012, 390:514-522. [7] ZOU Wenming. Variant fountain theorems and their applications[J]. Manuscripta Mathematics, 2001, 104:343-358. [8] MAO Anmin, CHEN Yusong. Existence and concentration of solutions for sublinear Schrödinger-Poisson equations[J]. Indian Journal of Pure and Applied Mathematics, 2018, 49(2):339-348. [9] LV Ying. Existence and multiplicity of solutions for a class of sublinear Schrödinger-Maxwell equations[J]. Boundary Value Problems, 2013, 2013:177. [10] LIU Zhisu, GUO Shangjiang, ZHANG Ziheng. Existence and multiplicity of solutions for a class sublinear Schrödinger-Maxwell equations[J]. Taiwanese Journal of Mathematics, 2013, 17:857-872. [11] ZHANG Qingye, WANG Qi. Multiple solutions for a class of sublinear Schrödinger equations[J]. Journal of Mathematical Analysis and Applications, 2012, 389:511-518. [12] CHEN Jing, TANG Xianhua. Infinitely many solutions for a class of sublinear Schrödinger equation[J]. Taiwanese Journal of Mathematics, 2015, 19:381-396. [13] BAO Gui. Infinitely many small solutions for a sublinear Schrödinger-Poisson system with sign-changing potential[J]. Computers and Mathematics with Applications, 2016, 71:2082-2088. [14] AMBROSETTI A, RUIZ D. Multiple bound states for the Schrödinger-Poisson problem[J]. Communications in Contemporary Mathematics, 2008, 10:391-404. [15] BENCI V, FORTUNATO D. An eigenvalue problem for the Schrödinger-Maxwell equations[J]. Topological Methods in Nonlinear Analysis, 1998, 11:283-293. [16] LIONS P L. The concentration-compactness principle in the calculus of variations, the local compact case part I[J]. Annales de lInstitut Henri Poincaré-Analyse Non Linéaire, 1984, 1:109-145. [17] BARTSCH T, PANKOV A,WANG Z Q. Nonlinear Schrödinger equations with steep potential well[J]. Communications in Contemporary Mathematics, 2001, 3(4):549-569. |
| [1] | ZHANG Fanghong. Existence of weak solutions for a class of non-autonomous second-order delay evolution equations on unbounded domain [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2026, 61(2): 58-63. |
| [2] | Yanmin GUO,Song ZHAO,Yuxia TONG. Global BMO estimations for obstacle problems of a class of non-uniformly elliptic equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(6): 46-56. |
| [3] | TANG Li-qin, WANG Li, WANG Jun. Existence of solutions for the Kirchhoff type Schrödinger-Bopp-Podolsky system with indefinite potentials [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(4): 97-103. |
| [4] | ZHAO Song, KANG Di, XU Xiu-juan. Regularity of weak solutions for obstacle problems with natural growth [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(4): 104-110. |
| [5] | GUO Kai-li, FENG Xiao-jing. Solution to the fractional Schrödinger-Poisson systems with critical term [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(6): 56-63. |
| [6] | XUE Ting-ting, XU Yan, LIU Xiao-ping. Existence of nontrivial weak solutions for fractional boundary value problems with variable coefficients [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(12): 45-51. |
| [7] | ZHANG Ya-nan, YANG Ya-qi, TONG Yu-xia. Local gradient estimates for weak solutions of obstacle problems to a class of A-harmonic equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(6): 76-83. |
| [8] | ZHANG Shen-gui. Existence of solutions for fractional Kirchhoff-type equation with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2020, 55(6): 48-55. |
| [9] | ZHANG Nian, JIA Gao. Existence of infinitely many high energy solutions of a class of fourth-order elliptic equations with nonlocal terms [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(6): 81-87. |
| [10] | ZHANG Shen-gui. Applications of variational method to impulsive differential systems with variable exponent [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(4): 22-28. |
| [11] | WU Yi-jia, CHENG Rong. Infinitely many nontrival solutions for a class of Schrödinger equations [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(2): 84-88. |
| [12] | CHEN Li-zhen, FENG Xiao-jing, LI Gang. Existence of nontrival solutions for a class of Schrödinger-Poisson systems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 74-78. |
| [13] | ZHANG Shen-gui. Periodic solutions for a class of Kirchhoff-type differential systems [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(10): 1-6. |
| [14] | ZHANG Shen-gui. Multiple solutions of Navier boundary value problem for fourth-order elliptic equation with variable exponents [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(2): 32-37. |
| [15] | ZHEN Wei-wei, ZENG Jian, REN Jian-long. Time dependent parabolic inverse source problem based on variational theory [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(10): 61-71. |
|
||
