@article{ASNSP_1990_4_17_3_393_0, author = {Adimurthi}, title = {Existence of positive solutions of the semilinear {Dirichlet} problem with critical growth for the $n$-laplacian}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {393--413}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 17}, number = {3}, year = {1990}, mrnumber = {1079983}, zbl = {0732.35028}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1990_4_17_3_393_0/} }
TY - JOUR AU - Adimurthi TI - Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the $n$-laplacian JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1990 SP - 393 EP - 413 VL - 17 IS - 3 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1990_4_17_3_393_0/ LA - en ID - ASNSP_1990_4_17_3_393_0 ER -
%0 Journal Article %A Adimurthi %T Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the $n$-laplacian %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1990 %P 393-413 %V 17 %N 3 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1990_4_17_3_393_0/ %G en %F ASNSP_1990_4_17_3_393_0
Adimurthi. Existence of positive solutions of the semilinear Dirichlet problem with critical growth for the $n$-laplacian. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 17 (1990) no. 3, pp. 393-413. http://www.numdam.org/item/ASNSP_1990_4_17_3_393_0/
[1] Positive solutions of the semilinear Dirichlet problem with Critical growth in the unit disc in R2, Proc. Indian Acad. Sci., 99, (1989), pp. 49-73. | Zbl
,[2] Ground states and Dirichlet problems for -Δu=f(u) in R2, Archive for Rational Mechanics and Analysis, No. 2, 96 (1986), pp. 147-165. | Zbl
- ,[3] Nonlinear elliptic equations involving the Critical Sobolev exponent- Survey and perspectives, Directions in partial differential equations, Ed. Crandall etc. (1987), pp. 17-36. | Zbl
,[4] Positive solutions of non-linear elliptic equations involving critical Sobolev exponents, Comm Pure Appl. Maths, 36 (1983), pp. 437-477. | Zbl
- ,[5] Problems de Neumann non lineaires sur les varietes riemanniennes, C.R. Acad. Sc. Paris, Serie A, 292 (1984), pp. 225-262.
,[6] C1,α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Analysis - TMA, No. 8, 7 (1983), pp. 827-850. | Zbl
,[7] Existence and non-uniqueness for the p-Laplacian, Comm in P.D.E, 12 (1987), pp. 1389-1430. | Zbl
- ,[8] Elliptic Partial differential equations of second order, 2nd edition, Springer Verlag (1983). | Zbl
- ,[9] The Concentration Compactness principle in the calculus of variations, part-I, Revista mathematica Iberoamericana, No. 1, 1 (1985), pp. 185-201. | Zbl
,[10] A sharp form of an inequality by N. Trudinger, Indiana Univ. Maths Jr, No. 11, 20 (1971), pp. 1077-1092. | Zbl
,[11] On a class of non-linear second order differential equations, Trans AMS, 95 (1960), pp. 101-123. | Zbl
,[12] Regularity for a more general class of quasilinear elliptic equations, Jr diff. eqs, 51 (1984), pp. 126-150. | Zbl
,[13] On imbedding into Orlicz spaces and some applications, Jr Math Mech, 17 (1967), pp. 473-484. | Zbl
,