| Title:
|
Multiple solutions of a Schrödinger type semilinear equation (English) |
| Author:
|
Liu, Xiaochun |
| Author:
|
Yang, Jianfu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
735-745 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Two nontrivial solutions are obtained for nonhomogeneous semilinear Schrö\-din\-ger equations. (English) |
| Keyword:
|
Schrödinger equation |
| Keyword:
|
multiple solutions |
| MSC:
|
35B38 |
| MSC:
|
35D05 |
| MSC:
|
35J20 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
35Q55 |
| idZBL:
|
Zbl 1054.35094 |
| idMR:
|
MR1800170 |
| . |
| Date available:
|
2009-01-08T19:06:48Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119205 |
| . |
| Reference:
|
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| Reference:
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[AR] Ambrosetti A., Rabinowitz P.: Dual variational methods in critical point theory and application.J. Funct. Anal. 14 (1973), 231-246. MR 0370183 |
| Reference:
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[BJ] Buffoni B., Jeanjean L.: Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness.Ann. Inst. H. Poincaré Anal. Nonlineaire 10 4 (1993), 377-404. Zbl 0828.35013, MR 1246458 |
| Reference:
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[BJS] Buffoni B., Jeanjean L., Stuart C.A.: Existence of a non-trivial solution to a strongly indefinite semilinear equation.Proc. Amer. Math. Soc. 119 1 (1993), 175-186. MR 1145940 |
| Reference:
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[CY] Chabrowski J., Yang Jianfu: Existence theorems for the Schrödinger equation involving a critical Sobolev exponent.Z. Angew. Math. Phys. 49 (1998), 276-293. Zbl 0903.35021, MR 1629187 |
| Reference:
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| Reference:
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[E] Ekeland I.: On the variational principle.J. Math. Anal. Appl. 47 (1974), 324-353. Zbl 0286.49015, MR 0346619 |
| Reference:
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| Reference:
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[FY] de Figueiredo D.G., Yang Jianfu: Critical superlinear Ambrosetti-Prodi Problem.Topol. Methods Nonlinear Anal. 14 (1999), 59-80. MR 1758880 |
| Reference:
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[J] Jeanjean L.: Two positive solutions for a class nonhomogeneous elliptic equations.Differential Integral Equations 10 (1997), 609-624. MR 1741765 |
| Reference:
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[L] Liu Xiaochun: Existence theorem of concave and convex effects for nonlinear Schrödinger equations.J. Nanchang Univ. Nat. Sci. 22 1 (1998), 31-38. |
| Reference:
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[PP] Pankov A.A., Pflüger K.: On a semilinear Schrödinger equation with periodic potential.Nonlinear Anal. TMA 33 (1998), 593-609. MR 1635911 |
| Reference:
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[R] Rabinowitz P.: Minimax methods in critical point theory with applications to differential equations.AMS Conf. Ser. Math. 65 (1986). Zbl 0609.58002, MR 0845785 |
| . |
