Asymptotic estimates and blow-up theory for critical equations involving the p-Laplacian

Alves, C.O.: Existence of positive solutions for a problem with lack of compactness involving the p-Laplacian. Nonlinear Anal. 51(7), 1187–1206 (2002) Brezis, H., Coron, J.M.: Convergence of solutions of H-systems or how to blow bubbles. Arch. Rational Mech. Anal. 89(1), 21–56 (1985) Brezis, H., Lieb, E.: A relation between pointwise convergence of functions and convergence of functionals. Proc. Amer. Math. Soc. 88(3), 486–490 (1983) Brezis, H., Nirenberg, L.: Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36(4), 437–477 (1983) Damascelli, L., Pacella, F.: Monotonicity and symmetry results for p-Laplace equations and applications. Adv. Differential Equations 5, 1179–1200 (2000) Damascelli, L., Pacella, F., Ramaswamy, M.: Symmetry of ground states of p-Laplace equations via the moving plane method. Arch. Rational Mech. Anal. 148, 291–308 (1999) Demengel, F., Hebey, E.: On some nonlinear equations involving the p-Laplacian with critical Sobolev growth. Adv. Differential Equations 3(4), 533–574 (1998) Druet, O.: Generalized scalar curvature type equations on compact Riemannian manifolds. Proc. Roy. Soc. Edinburgh Sect. A 130(4), 767–788 (2000) Druet, O.: Isoperimetric inequalities on compact manifolds. Geom. Dedicata 90, 217–236 (2002) Druet, O.: Sharp local isoperimetric inequalities involving the scalar curvature. Proc. Amer. Math. Soc. 130(8), 2351–2361 (2002) Druet, O.: The best constants problem in Sobolev inequalities. Math. Ann. 314(2), 327–346 (1999) Druet, O., Hebey, E.: The AB program in geometric analysis: sharp Sobolev inequalities and related problems. Mem. Amer. Math. Soc. 160(761), (2002) Druet, O., Hebey, E., Robert, F.: A C0-theory for the blow-up of second order elliptic equations of critical Sobolev growth. Electron. Res. Announc. Amer. Math. Soc. 9, 19–25 (2003) Evans, L.C.: Weak convergence methods for nonlinear partial differential equations. Conference Board of the Mathematical Sciences 74 (1990) Ghoussoub, N., Yuan, C.: Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents. Trans. Amer. Math. Soc. 352(12), 5703–5743 (2000) Guedda, M., Veron, L.: Quasilinear elliptic equations involving critical Sobolev exponents. Nonlinear Anal. 13(8), 879–902 (1989) Hebey, E.: Nonlinear analysis on manifolds: Sobolev spaces and inequalities. Courant Lecture Notes in Mathematics 5 (1999) Hebey, E., Robert, F.: Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients. Calc. Var. Partial Differential Equations 13(4), 491–517 (2001) Ladyzhenskaya, O., Ural'tseva, N.: Linear and Quasilinear Elliptic Equations. Academic Press (1968) Lions, P.L: The concentration-compactness principle in the calculus of variations, the limit case, parts 1 and 2. Rev. Mat. Iberoamericana 1(1/2), 145–201, 45–121 (1985) Sacks, J., Uhlenbeck, K.: The existence of minimal immersions of two-spheres. Ann. of Math. (2), 113(1), 1–24 (1981) Schoen, R., Zhang, D.: Prescribed scalar curvature on the n-sphere. Calc. Var. Partial Differential Equations 4(1), 1–25 (1996) Struwe, M.: Variational methods. Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems. Third edition. Springer-Verlag (2000) Tolksdorf, P.: Regularity for a more general class of quasilinear elliptic equations. J. Differential Equations 51(1), 126–150 (1984)