| Title:
|
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term (English) |
| Author:
|
Feireisl, Eduard |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
78-87 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B10 |
| MSC:
|
35L70 |
| MSC:
|
58E05 |
| MSC:
|
58F22 |
| idZBL:
|
Zbl 0665.35050 |
| idMR:
|
MR925942 |
| DOI:
|
10.21136/CMJ.1988.102202 |
| . |
| Date available:
|
2008-06-09T15:19:25Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102202 |
| . |
| Reference:
|
[1] Bahri A., Berestycki H.: Forced vibrations of superquadratic Hamiltonian systems.Preprint, Université Paris VI, 1981. MR 0621969 |
| Reference:
|
[2] Bahri A., Brezis H.: Periodic solutions of a nonlinear wave equation.Proc. Roy. Soc. Edinburgh Sect. A., 85 (1980), 313-320. Zbl 0438.35044, MR 0574025 |
| Reference:
|
[3] Lions J. L: Quelques méthodes de resolution des problèmes aux limites non linéaires.Dunod,Gauthier-willars, Paris (1969). Zbl 0189.40603, MR 0259693 |
| Reference:
|
[4] Lovicar V.: Free vibrations for the equation $u\sb{tt}-u\sb{xx}+f(u)=0$ with $f$ sublinear.Proc. of Equadiff 5 (Bratislava, 1981), Teubner-Texte zur Mathematik, Band 47, 228-230. MR 0715981 |
| Reference:
|
[5] Palais R. S.: Critical point theory and the minimax principle.Proc. Sympos. Pure Math. 15 (1970), 185-212. Zbl 0212.28902, MR 0264712 |
| Reference:
|
[6] Rabinowitz P. H.: Large amplitude time periodic solutions of a semilinear wave equation.Comm. Pure. Appl. Math. 37 (1984), 189-206. Zbl 0522.35065, MR 0733716, 10.1002/cpa.3160370203 |
| Reference:
|
[7] Tanaka K.: Infinitely many periodic solutions for the equation $u\sb {tt}-u\sb {xx}±\vert u\vert \sp {s-1}u=f(x,t)$.Proc. Japan. Acad. 61 (1985), Ser. A, 70-73. MR 0796470 |
| . |
