@article{RSMUP_2003__110__1_0,
author = {Chabrowski, J. and Yang, Jianfu},
title = {Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent},
journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
volume = {110},
year = {2003},
pages = {1-24},
mrnumber = {2032999},
zbl = {1115.35042},
language = {en},
url = {http://dml.mathdoc.fr/item/RSMUP_2003__110__1_0}
}
Chabrowski, J.; Yang, Jianfu. Multiple solutions of a nonlinear elliptic equation involving Neumann conditions and a critical Sobolev exponent. Rendiconti del Seminario Matematico della Università di Padova, Tome 110 (2003) pp. 1-24. http://gdmltest.u-ga.fr/item/RSMUP_2003__110__1_0/
[1] - , The Neumann problem for elliptic equations with critical nonlinearity, A tribute in honor of G. Prodi, Scuola Norm. Sup. Pisa (1991), pp. 9-25. | MR 1205370 | Zbl 0836.35048
[2] - , Effect of geometry and topology of the boundary in critical Neumann problem, J. Reine Angew. Math., 456 (1994), pp. 1-18. | MR 1301449 | Zbl 0804.35036
[3] - - , The role of the mean curvature in a semilinear Neumann problem involving critical exponent, Comm. in P.D.E., 20, No. 3 and 4 (1995), pp. 591-631. | MR 1318082 | Zbl 0847.35047
[4] - - , Interaction between the geometry of the boundary and positive solutions of a semilinear Neumann problem with critical nonlinearity, J. Funct. Anal., 113 (1993), pp. 318-350. | MR 1218099 | Zbl 0793.35033
[5] - - , Characterization of concentration points and LQ -estimates for solutions of a semilinear Neumann problem involving the critical Sobolev exponent, Diff. Int. Eq., 8 (1995), pp. 31-68. | Zbl 0814.35029
[6] - , Critical Sobolev exponent problem in RN (NF4) with Neumann boundary condition, Proc. Indian Acad. Sci., 100 (1990), pp. 275-284. | MR 1081711 | Zbl 0735.35063
[7] - , Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Commun. Pure Appl. Math., 36 (1983), pp. 437-477. | MR 709644 | Zbl 0541.35029
[8] , On the nonlinear Neumann problem with indefinite weight and Sobolev critical nonlinearity, Bull. Pol. Acad. Sc., 50 (3) (2002), pp. 323-333. | MR 1948080 | Zbl pre01869587
[9] , Mean curvature and least energy solutions for the critical Neumann problem with weight, B.U.M.I. B, 5 (8) (2002), pp. 715-733. | MR 1934376 | Zbl 1097.35046
[10] - , Least energy solutions of a critical Neumann problem with weight, Calc. Var., 15 (2002), pp. 121-131. | MR 1942126 | Zbl pre01942729
[11] , Positive solutions for some nonlinear elliptic equations with critical Sobolev exponents, Commun. Pure Appl. Math., 40 (1987), pp. 623-657. | MR 896771 | Zbl 0635.35033
[12] , Critical superlinear AmbrosettiProdi problems, TMNA, 14 (1999), pp. 50-80. | Zbl 0958.35055
[13] - , Elliptic partial differential equations of second order, Springer-Verlag, Berlin (1983) (second edition). | MR 737190 | Zbl 0562.35001
[14] , The concentration-compactness principle in the calculus of variations, The limit case, Revista Math. Iberoamericana, 1, No. 1 and No. 2 (1985), pp. 145-201 and pp. 45-120. | MR 834360
[15] - - , Singular behavior of least energy solutions of a semilinear Neumann problem involving critical Sobolev exponent, Duke Math. J., 67 (1992), pp. 1-20. | MR 1174600 | Zbl 0785.35041
[16] - , On the shape of least-energy solutions to a semilinear Neumann problem, Comm. Pure Appl. Math., 44 (1991), pp. 819-851. | MR 1115095 | Zbl 0754.35042
[17] , Neumann problems of semilinear elliptic equations involving critical Sobolev exponents, J. Diff. Eq., 93 (1991), 283-310. | MR 1125221 | Zbl 0766.35017
[18] , Remarks on a nonlinear Neumann problem with critical exponent, Houston J. Math., 20, No. 4 (1994), pp. 671-694. | MR 1305937 | Zbl 0817.35030
[19] , The effect of the domain geometry on number of positive solutions of Neumann problems with critical exponents, Diff. Int. Eq., 8, No. 6 (1995), pp. 1533-1554. | MR 1329855 | Zbl 0829.35041
[20] , Min-max Theorems, Boston 1996, Birkhäuser.