참고문헌
- C. O. Alves, S. H. Monari, Existence of solution for a class of quasilinear systems, Adv. Nonlinear Stud. 9 (2009), 537-564.
-
C. O. Alves, G. M. Figueiredo, On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in
$R^N$ , J. Differential Equations 246 (2009), 1288-1311. https://doi.org/10.1016/j.jde.2008.08.004 - L. Boccardo, D. G. DeFIgueiredo, Some remarks on a system of quasilinear elliptic equa- tions, NoDEA Nonlinear Differ. Equ. Appl. 9 (3) (2002), 309-323. https://doi.org/10.1007/s00030-002-8130-0
- J. F. Bonder, S. Martinezi, J. D. Rossi, Existence results for Gradient elliptic systems with nonlinear boundary conditions, NoDEA Nonlinear Differ. Equ. Appl. 14 (2007), 153-179. https://doi.org/10.1007/s00030-007-5015-2
- V. Benci, On critical point theory for indefinite functional in presence of symmetries, Tran. Amer. Math. Soc. 24 (1982), 533-572.
- D. G. Costa, Multiple solutions for a class of stongly indefinite problems, Mat. Contemp. 15 (1998), 87-103.
- M. Clapp, Y. H. Ding, S. Hernandez-Linares, Strongly indefinite functional with perturbed symmetries and multiple solutions of nonsymmetric elliptic systems, Electron. J. Differen- tial Equations 100 (2004), 1-18.
- Y. Q. Fang, J. H. Zhang, Multiplicity of solutions for a class of elliptic systems with critical Sobolev exponent, accepted by Nonlinear Anal. (2010).
- D. G. de Figueiredo, J. M. Bezerra do O, B. Ruf, Critical and subcritical elliptic systems in dimension two, Indiana Univ. Math. J. 53 (2004), no.4, 1037-1054. https://doi.org/10.1512/iumj.2004.53.2402
-
D. Huang, Y. Li, Multiple solutions for a noncooperative p-Laplacian elliptic system in
$R^N$ , J. Differential Equations 215 (2005), 206-223. https://doi.org/10.1016/j.jde.2004.09.001 - W. Kryszewski, A. Szulkin, An infinte dimensional Morse theory with applications, Trans. Amer. Math. Soc. 349 (1997), 3181-3234. https://doi.org/10.1090/S0002-9947-97-01963-6
- V. Kondvatev, M. Shubin, Discreteness of spectrum for the Schrodinger operators on manifolds of bounded geometry, Oper. Theory Adv. Appl. 110 (1999), 185-226.
- F. Lin, Y. Li, Multiplcity of solutions for a noncooperative elliptic system with critical Sobolev exponent, Z. Angew. Math. Phys. 60 (2009), 402-415. https://doi.org/10.1007/s00033-008-7114-2
- S. J. Li, M. willem, Applications of local linking to critical point thery, J. Math. Anal. Appl. 189 (1995), 6-32. https://doi.org/10.1006/jmaa.1995.1002
- Y. Q. Li, A limit index theory and its application, Nonlinear Anal. 25 (1995), 1371-1389. https://doi.org/10.1016/0362-546X(94)00254-F
- J. Lindenstrauss, L. Tzafriri, Classical Banach Spaces I. Springer, Berlin (1977).
- J. Moser, A sharp form of an inequality by N. Trudinger, Indiana Univ. Math. J. 20 (1971), 1077-1092. https://doi.org/10.1512/iumj.1971.20.20101
- M. Struwe, Variational Methods, Springer, Berlin 1990.
- A. Szulkin, Index theories for indefinite functionals and applications, in: P. Drabek (Ed.), Pitman Research Notes in Mathematics, Series 365, Topological and Variational Methods for Nonlinear Boundary Value Problems, Longman, Harlow 1997, pp. 89-121.
- N. S. Trudinger, On the imbeddings into Orlicz spaces and some applications, J. Math. Mech. 17 (1967), 473-484.
- H. Triebel, Interpolation Theory, Function Spaces, Differential Operators. North-Holland, Amsterdam (1978).
- M. Willem, Minimax Theorems, BirkhÄauser, Boston, 1996.
- J. F. Yang, Positive solutions of quasilinear elliptic obstacle problems with critical expo- nents, Nonlinear Anal. 25 (1995), 1283-1306. https://doi.org/10.1016/0362-546X(94)00247-F