JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (6): 75-80.doi: 10.6040/j.issn.1671-9352.0.2018.496
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[1] PERERA K, SILVA E A B. Existence and multiplicity of positive solutions for singular quasilinear problems[J]. Journal of Mathematical Analysis and Applications, 2006, 323(2):1238-1252. [2] ZHAO L, HE Y, ZHAO P. The existence of three positive solutions of a singular p-Laplacian problem[J]. Nonlinear Analysis, 2011, 74(16):5745-5753. [3] BUENO H, PAES-LEME L, RODRIGUES H C. Multiplicity of solutions for p-biharmonic problems with critical growth[J]. Rocky Mountain J Math, 2018, 48:425-442. [4] CHEN Q, CHEN C. Infinitely many solutions for a class of p-biharmonic equation in RN[J]. Bull Iranian Math Soc, 2017, 43(1):205-215. [5] 廖家锋, 陈明, 张鹏. 一类奇异共振椭圆方程正解的唯一性[J]. 数学杂志, 2017, 37(3):513-518. LIAO Jiafeng, CHEN Ming, ZHANG Peng. Uniqueness of positive solutions for a class of singular resonance elliptic equations[J]. Journal of Mathematics, 2017, 37(3):513-518. [6] 廖家锋, 李红英, 段誉. 一类奇异p-Laplacian方程正解的唯一性[J]. 西南大学学报(自然科学版), 2016, 38(6):45-49. LIAO Jiafeng, LI Hongying, DUAN Yu. Uniqueness of positive solutions for a class of singular p-Laplacian equations[J]. Journal of Southwest University(Natural Science Edition), 2016, 38(6):45-49. [7] 李红英, 佘连兵, 廖家锋. 一类奇异p-Laplace方程正解的存在性[J]. 西北师范大学学报(自然科学版), 2016, 52(4):1-4. LI Hongying, SHE Lianbing, LIAO Jiafeng. Uniqueness of positive solutions for a class of singular p-Laplace equations[J]. Journal of Northwest Normal University(Natural Science Edition), 2016, 52(4):1-4. [8] 唐榆婷, 唐春雷. 一类带Hardy-Sobolev临界指数的Kirchhoff方程正解的存在性[J]. 西南大学学报(自然科学版), 2017, 39(6):81-86. TANG Yuting, TANG Chunlei. Existence of positive solutions for a class of Kirchhoff equations with Hardy-Sobolev critical exponents[J]. Journal of Southwest University(Natural Science Edition), 2017, 39(6):81-86. [9] YANG Ruirui, ZHANG Wei, LIU Xiangqing. Sign-changing solutions for p-biharmonic equations with Hardy potential in RN[J]. Acta Mathematica Scientia, 2017, 37B(3):593-606. [10] LIAO Jiafeng, KE Xiaofeng, LEI Chunyu, et al. A uniqueness result for Kirchhoff type problems with singularity[J]. Applied Mathematics Letters, 2016, 59:24-30. [11] HUANG Yisheng, LIU Xiangqing. Sign-changing solutions for p-biharmonic equationswith Hardy potential[J]. Journal of Mathematical Analysis and Applications, 2014, 412(3):142-154. [12] DAVIES E B, HINZ A M. Explicit constants for Rellich inequalities[J]. Mathematische Zeitschrift, 1998, 227(3):511-523. [13] RUDIN W. Real and complex analysis[M]. New York: McGraw-Hill, 1986. [14] BRÉZIS H, LIEB E. A relation between pointwise convergence of functions and convergence of functionals[J]. Proceedings of the American Mathematical Society, 1983, 88(3):486-490. [15] SUN Y J, WU S, LONG Y. Combined effects of singular and superlinear nonlinearities in some singular boundary value problems[J]. Journal of Differential Equations, 2001, 176(2):511-531. [16] VÁZQUEZ J L. A strong maximum principle for some quasilinear elliptic equations[J]. Applied Mathematics and Optimization, 1984, 12(1):191-202. [17] LINDQVIST Peter. On the equation div(|∇u|p-2∇u)+λup-2u=0[J]. Proceedings of the American Mathematical Society, 1992, 116(2):583-584. |
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