References
- Caffarelli L, Kohn R, Nirenberg L. First order interpolation inequalities with weights. Compositio Math. 1984;53(3):259–275.
- Lin C-S. Interpolation inequalities with weights. Comm Partial Diff Equ. 1986;11(14):1515–1538. doi: 10.1080/03605308608820473
- Catrina F, Wang Z-Q. On the Caffarelli-Kohn-Nirenberg inequalities: sharp constants, existence (and nonexistence), and symmetry of extremal functions. Comm Pure Appl Math. 2001;54(2):229–258. doi: 10.1002/(ISSN)1097-0312
- Chern J-L, Lin C-S. Minimizers of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary. Arch Rational Mech Anal. 2010;197:401–432. doi: 10.1007/s00205-009-0269-y
- Chou K-S, Chu C-W. On the best constant for a weighted Sobolev-Hardy inequality. J Lond Math Soc (2). 1993;48(1):137–151. doi: 10.1112/jlms/s2-48.1.137
- Lieb E. Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann of Math. 1983;118(2):349–374. doi: 10.2307/2007032
- Lin C-S, Wadade H. Minimizing problems for the Hardy-Sobolev type inequality with the singularity on the boundary. Tohoku Math J (2). 2012;64(1):79–103. doi: 10.2748/tmj/1332767341
- Talenti G. Best constant in Sobolev inequality. Ann Mat Pura Appl. 1976;110:353–372. doi: 10.1007/BF02418013
- Ghoussoub N, Yuan C. Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans Amer Math Soc. 2000;352:5703–5743. doi: 10.1090/tran/2000-352-12
- Ghoussoub N, Robert F. Hardy-singular boundary mass and Sobolev-critical variational problems. Anal PDE. 2017;10(5):1017–1079. doi: 10.2140/apde
- Ghoussoub N, Kang XS. Hardy-Sobolev critical elliptic equations with boundary singularities. Ann Inst H Poincare Anal Non Lineaire. 2004;21:767–793. doi: 10.4171/aihpc
- Ghoussoub N, Robert F. Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth. IMRP Int Math Res Pap. 2006;21867:1–85.
- Ghoussoub N, Robert F. The effect of curvature on the best constant in the Hardy-Sobolev inequalities. Geom Funct Anal. 2006;16:1201–1245. doi: 10.1007/s00039-006-0579-2
- Chern J-L, Hashizume M, Hwang G. Properties of solutions to semilinear elliptic problem with Hardy potential. J Differ Equ. 2020;269(2):1432–1464. doi: 10.1016/j.jde.2020.01.009
- Hsia C-H, Lin C-S, Wang Z-Q. Asymptotic symmetry and local behaviors of solutions to a class of anisotropic elliptic equations. Indiana Univ Math J. 2011;60:5. doi: 10.1512/iumj.2011.60.4376
- Cao D, Han P. Solutions for semilinear elliptic equations with critical exponents and Hardy potential. J Differ Equ. 2004;205(2):521–537. doi: 10.1016/j.jde.2004.03.005
- Cao D, Han P. Solutions to critical elliptic equations with multi-singular inverse square potentials. J Differ Equ. 2006;224:332–372. doi: 10.1016/j.jde.2005.07.010
- Cao D, Yan S. Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential. Calc Var Partial Differ Equ. 2010;38(3–4):471–501. doi: 10.1007/s00526-009-0295-5
- Cao D, Yan S. Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth. J Differ Equ. 2011;251(6):1389–1414. doi: 10.1016/j.jde.2011.05.011
- Devillanova G, Solimini S. Concentration estimates and multiple solutions to elliptic problems at critical growth. Adv Differ Equ. 2002;7:1257–1280. doi: 10.57262/ade/1356651637
- Shang Y, Tang C. Positive solutions for Neumann elliptic problems involving critical Hardy-Sobolev exponent with boundary singularities. Nonlinear Anal. 2009;70(3):1302–1320. doi: 10.1016/j.na.2008.02.013
- Zhong X, Zou W. A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents. Commun Contemp Math. 2016;18(4):1550061–26. doi: 10.1142/S0219199715500613
- Cerami G, Zhong X, Zou W. On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem. Calc Var Partial Differ Equ. 2015;54(2):1793–1829. doi: 10.1007/s00526-015-0844-z
- Hsia C-H, Lin C-S, Wadade H. Revisiting an idea of Brzis and Nirenberg. J Funct Anal. 2010;259(7):1816–1849. doi: 10.1016/j.jfa.2010.05.004
- Li YY, Lin C-S. A nonlinear elliptic PDE and two Sobolev-Hardy critical exponents. Arch Ration Mech Anal. 2012;203(3):943–968. doi: 10.1007/s00205-011-0467-2
- Zhong X, Zou W. A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in RN. J Differ Equ. 2021;292:354–387. doi: 10.1016/j.jde.2021.05.027
- Brezis H, Lieb E. A relation between pointwise convergence of functions and convergence of functionals. Proc Amer Math Soc. 1983;88(3):486–490. doi: 10.1090/proc/1983-088-03
- Fall M, Musina R. Hardy-Poincaré inequalities with boundary singularities. Proc Roy Soc Edinburgh Sect A. 2012;142(4):769–786. doi: 10.1017/S0308210510000740