| Title: | Multiple solutions of semilinear elliptic systems (English) | 
| Author: | Jianfu, Yang | 
| Language: | English | 
| Journal: | Commentationes Mathematicae Universitatis Carolinae | 
| ISSN: | 0010-2628 (print) | 
| ISSN: | 1213-7243 (online) | 
| Volume: | 39 | 
| Issue: | 2 | 
| Year: | 1998 | 
| Pages: | 257-268 | 
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| Category: | math | 
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| Summary: | We obtain in this paper a multiplicity result for strongly indefinite semilinear elliptic systems in bounded domains as well as in $\Bbb R^N$. (English) | 
| Keyword: | indefinite | 
| Keyword: | semilinear | 
| Keyword: | elliptic system | 
| MSC: | 35J50 | 
| MSC: | 35J55 | 
| MSC: | 35J60 | 
| MSC: | 47H15 | 
| idZBL: | Zbl 0940.35072 | 
| idMR: | MR1651942 | 
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| Date available: | 2009-01-08T18:40:27Z | 
| Last updated: | 2012-04-30 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/119004 | 
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| Reference: | [A] Adams R.A.: Sobolev Spaces.Academic Press, 1975. Zbl 1098.46001, MR 0450957 | 
| Reference: | [BL] Berestycki H., Lions P.L.: Nonlinear scalar field equations, I and II.Arch. Rational Mech. Anal. 82 (1983), 313-376. MR 0695535 | 
| Reference: | [CGM] Coleman S., Glazer V., Martin A.: Action minima among solutions to a class of Euclidean scalar field equations.Comment. Math. Phys. 58 (1978), 211-221. MR 0468913 | 
| Reference: | [FF] de Figueiredo D.G., Felmer P.L.: On superquadratic elliptic systems.Trans. Amer. Math. Soc. 343 (1994), 99-116. Zbl 0799.35063, MR 1214781 | 
| Reference: | [FY] de Figueiredo D.G., Yang Jianfu: Decay, symmetry and existence of solutions of semilinear elliptic systems.to appear in Nonlinear Anal. TMA. Zbl 0938.35054, MR 1617988 | 
| Reference: | [GT] Gilbarg D., Trudinger N.S.: Elliptic Partial Differential Equations of Second Order.Springer-Verlag, 1983. Zbl 1042.35002, MR 0737190 | 
| Reference: | [HE] Heinz H.P.: Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems.Nonlinear Anal. TMA 21 (1993), 457-484. Zbl 0793.47060, MR 1240897 | 
| Reference: | [HV] Hulshof J., van der Vorst R.: Differential systems with strongly indefinite variational structure.J. Funct. Anal. 114 (1993), 32-58. Zbl 0793.35038, MR 1220982 | 
| Reference: | [JW] Weidmann J.: Linear Operators in Hilbert Spaces.GMT 68, Springer-Verlag, 1980. Zbl 1025.47001, MR 0566954 | 
| Reference: | [KA] Kato T.: Perturbation Theory for Linear Operators.Springer-Verlag, 1966. Zbl 0836.47009, MR 0203473 | 
| Reference: | [LM] Lions J.L., Magenes E.: Non-homogeneous Boundary Value Problems and Applications, I.Springer-Verlag, 1972. | 
| Reference: | [PA] Palais R.: The principle of symmetric critically.Comment. Math. Phys. 69 (1979), 19-30. MR 0547524 | 
| Reference: | [PL] Lions P.L.: Symétrie et compacité dans les espaces de Sobolev.J. Funct. Anal. 49 (1982), 315-334. Zbl 0501.46032, MR 0683027 | 
| Reference: | [R] Rabinowitz P.: Minimax methods in critical point theory with applications to differential equations.CBMS Regional Conf. Ser. in Math., No. 65, Amer. Math. Soc., Providence, R.I., 1986. Zbl 0609.58002, MR 0845785 | 
| Reference: | [S] Strauss W.: Existence of solitary waves in higher dimensions.Comment. Math. Phys. 55 (1977), 149-162. Zbl 0356.35028, MR 0454365 | 
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