Solutions to critical elliptic equations with multi-singular inverse square potentials

Ambrosetti, 1973, Dual variational methods in critical point theory and applications, J. Funct. Anal., 14, 349, 10.1016/0022-1236(73)90051-7 Azorero, 1998, Hardy inequalities and some critical elliptic and parabolic problems, J. Differential Equations, 144, 441, 10.1006/jdeq.1997.3375 Brezis, 1979, Remarks on the Schrödinger operator with singular complex potentials, J. Math. Pures Appl., 58, 137 Brezis, 1983, Relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc., 88, 486, 10.2307/2044999 Brezis, 1983, Positive solutions of nonlinear elliptic equations involving critical Sobolev exponent, Comm. Pure Appl. Math., 36, 437, 10.1002/cpa.3160360405 Cao, 2004, Solutions for semilinear elliptic equations with critical exponents and Hardy potential, J. Differential Equations, 205, 521, 10.1016/j.jde.2004.03.005 Cao, 2003, A note on the sign-changing solutions to elliptic problems with critical Sobolev and Hardy terms, J. Differential Equations, 193, 424, 10.1016/S0022-0396(03)00118-9 Catrina, 2001, On the Caffarelli–Kohn–Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of external functions, Comm. Pure Appl. Math., 54, 229, 10.1002/1097-0312(200102)54:2<229::AID-CPA4>3.0.CO;2-I Chou, 1993, On the best constant for a weighted Sobolev–Hardy inequality, J. London Math. Soc., 48, 137, 10.1112/jlms/s2-48.1.137 Egnell, 1989, Elliptic boundary value problems with singular coefficients and critical nonlinearities, Indiana Univ. Math. J., 38, 235, 10.1512/iumj.1989.38.38012 Ekeland, 2002, Selected new aspects of the calculus of variations in the large, Bull. Amer. Math. Soc., 39, 207, 10.1090/S0273-0979-02-00929-1 Ferrero, 2001, Existence of solutions for singular critical growth semilinear elliptic equations, J. Differential Equations, 177, 494, 10.1006/jdeq.2000.3999 Ghoussoub, 2000, Multiple solutions for quasilinear PDEs involving critical Sobolev and Hardy exponents, Trans. Amer. Math. Soc., 352, 5703, 10.1090/S0002-9947-00-02560-5 D. Gilbarg, N.S. Trudinger, Elliptic partial differential equations of second order, second ed., vol. 224, Springer, Berlin, 1983. Jannelli, 1999, The role played by space dimension in elliptic critical problems, J. Differential Equations, 156, 407, 10.1006/jdeq.1998.3589 Lions, 1985, The concentration-compactness principle in the calculus of variations: the limit case, Rev. Mat. Iberoamericana, 1, 145, 10.4171/RMI/6 P. Rabinowitz, Minimax methods in critical points theory with applications to differential equations, CBMS series, vol. 65, Providence, RI, 1986. Ruiz, 2003, Elliptic problems with critical exponents and Hardy potentials, J. Differential Equations, 190, 524, 10.1016/S0022-0396(02)00178-X D. Smets, Nonlinear Schro˙dinger equations with Hardy potential and critical nonlinearities, Preprint of Universite Catholique de Louvain, Institut de Mathematique Pure et appliquee, Chemin du Cyclotron 2, Belgium, 2001. Tarantello, 1992, Nodal solutions of semilinear elliptic equations with critical exponent, Differential Integral Equations, 5, 25, 10.57262/die/1371086979 Willem, 1996