References
- Coron JM. Topologie et cas limite des injections de Sobolev. C R Acad Sci Paris Sér I Math. 1984;299:209–212.
- Talenti G. Best constants in Sobolev inequality. Ann Mat Pura Appl. 1976;110:353–372.
- Aubin T. Equations diffrentielles non linaires et problme de Yamabe concernant la courbure scalaire J Math Pures Appl. 1976;55(9):269–296.
- Struwe M. Global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math. Z. 1984;187:511–517.
- Brezis H, Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Commun Pure Appl Math. 1983;36(4):437–477.
- Demyanov AV, Nazarov AI. On the existence of an extremal function in Sobolev embedding theorems with critical exponents. Algebra Anal. 2005;17(N5):105–140. Russian; St Petersburg Math J. 2006;17(N5):108--142. MR2241425 (2007e:42016).
- Bahri A, Coron JM. On a nonlinear elliptic equation involving the critical Sobolev exponent : the effect of the topology of the domain. Commun Pure Appl Math. 1988;41:253–294.
- Hadiji R, Yazidi H. Problem with critical Sobolev exponent and with weight. Chin Ann Math Ser B. 2007;28(3):327–352.
- Hadiji R, Molle R, Passaseo D, Yazidi H. Localization of solutions for nonlinear elliptic problems with weight. C R Acad Sci Paris, Séc I Math. 2006;334:725–730.
- Furtado MF, Souza BN. Positive and nodal solutions for an elliptic equation with critical growth. Commun Contemp Math. 2016;18(02):16p.
- Cerami G, Passaseo D. Nonminizing positive solutions for equations with critical exponents in the half-space. SIAM J Math Anal. 1997;28(4):867–885.
- Lions PL. The concentration-compactness principle in the calculus of variations, The limit case, part 1 and part 2. Rev Mat Iberoamericana. 1985;1(1):145–201 ; 1985;1(2):45--121.
- Brezis H, Lieb E. A relation between pointwise convergence of functions and convergence of functionals. Proc AMS. 1983;88(3):486–490.
- Adimurthi, Mancini G. The Neumann problem for elliptic equation with critical non linearity, 65th birthday of Prof. Prodi, Scoula Normale superiore, Pisa. Ambrosetti and Marino editors; 1991.
- Adimurthi SL, Yadava SL. Positive solution for Neumann problem with critical non linearity on boundary. Commun Partial Differ Equ. 1991;16(11):1733–1760.