KIRCHHOFF G. Mechanik [M]. Leipzig: Teuhner, 1883.
LIONS J L. On Some Questions in Boundary Value Problems of Mathematical Physics [J]. North-Holland Mathematics Studies, 1978, 30: 284-346.
SHEN L J. Multiplicity and Asymptotic Behavior of Solutions for Kirchhoff Type Equations Involving the Hardy-Sobolev Exponent and Singular Nonlinearity [J]. Journal of Inequalities and Applications, 2018, 2018(1): 1-19. doi: 10.1186/s13660-017-1594-6
ZHANG Q, DENG Z Y. Existence of Positive Solutions for a Coupled System of Kirchhoff Type Equations with Sobolev Critical Exponent [J]. Journal of Mathematics and Informatics, 2019, 15: 19-31. doi: 10.22457/jmi.127v15a3
CHEN C Y, KUO Y C, WU T F. The Nehari Manifold for a Kirchhoff Type Problem Involving Sign-Changing Weight Functions [J]. Journal of Differential Equations, 2011, 250(4): 1876-1908. doi: 10.1016/j.jde.2010.11.017
CHUNG N. Existence of Positive Solutions for a Class of Kirchhoff Type Systems Involving Critical Exponents [J]. Filomat, 2019, 33(1): 267-280. doi: 10.2298/FIL1901267C
ZUO J B, AN T Q, YANG L B, et al. The Nehari Manifold for a Fractional p-Kirchhoff System Involving Sign-Changing Weight Function and Concave-Convex Nonlinearities [J]. Journal of Function Spaces, 2019, 2019: 1-9. doi: 10.1155/2019/7624373
孙宜民. 一类Kirchhoff型方程组极小能量解的存在性[J]. 西北大学学报(自然科学版), 2018, 48(6): 793-796.
孙宜民. 一类Kirchhoff型非局部方程组正解的存在性[J]. 陕西师范大学学报(自然科学版), 2019, 47(2): 21-25.
邵正梅, 欧增奇. 具有凹凸非线性项的Kirchhoff方程的多解性[J]. 西南师范大学学报(自然科学版), 2020, 45(4): 25-29.
张黔, 邓志颖. 含临界指数项和双重奇异项的Kirchhoff型椭圆边值方程的正解[J]. 西南师范大学学报(自然科学版), 2020, 45(2): 11-19.
HSU T S, LI H L. Multiplicity of Positive Solutions for Singular Elliptic Systems With Critical Sobolev-Hardy and Concave Exponents [J]. Acta Mathematica Scientia, 2011, 31(3): 791-804. doi: 10.1016/S0252-9602(11)60276-2
LI Y X, GAO W J. Existence of Multiple Solutions for Singular Quasilinear Elliptic System With Critical Sobolev-Hardy Exponents and Concave-Convex Terms [J]. Acta Mathematica Scientia, 2013, 33(1): 107-121. doi: 10.1016/S0252-9602(12)60197-0
BROWN K J, ZHANG Y P. The Nehari Manifold for a Semilinear Elliptic Equation With a Sign Changing Weight Function [J]. Journal of Differential Equations, 2003, 193(2): 481-499. doi: 10.1016/S0022-0396(03)00121-9
BREZIS 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. doi: 10.1090/S0002-9939-1983-0699419-3
HAN P G. The Effect of the Domain Topology on the Number of Positive Solutions of an Elliptic System Involving Critical Sobolev Exponents [J]. Houston Journal of Mathematics, 2006, 32(4): 1241-1257.