| Title:
|
On the solvability of von Kármán equations (English) |
| Author:
|
John, Oldřich |
| Author:
|
Nečas, Jindřich |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
20 |
| Issue:
|
1 |
| Year:
|
1975 |
| Pages:
|
48-62 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
Solvability of the general boundary value problem for von Kármán system of nonlinear equations is studied. The problem is reduced to an operator equation. Coerciveness of the corresponding operator is proved, which together with its other properties implies the existence of a solution. () |
| MSC:
|
35D05 |
| MSC:
|
35G30 |
| MSC:
|
35J65 |
| MSC:
|
35Q99 |
| MSC:
|
35R20 |
| idZBL:
|
Zbl 0309.35064 |
| idMR:
|
MR0380099 |
| DOI:
|
10.21136/AM.1975.103565 |
| . |
| Date available:
|
2008-05-20T18:00:24Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103565 |
| . |
| Reference:
|
[1] Berger M. S.: On von Kármán's equations and the buckling of a thin elastic plate I.Comm. Pure Appl. Math., XX, 1967, 687-719. Zbl 0162.56405, MR 0221808, 10.1002/cpa.3160200405 |
| Reference:
|
[2] Hlaváček I., Naumann J.: Inhomogeneous boundary value problems for the von Kármán Equations, I.Aplikace matematiky 19 (1974), 253 - 269. MR 0377307 |
| Reference:
|
[3] Knightly G. H.: An existence theorem for the von Kármán equation.Arch. Rat. Mech. Anal., 27, 1967, 233-242. MR 0220472, 10.1007/BF00290614 |
| Reference:
|
[4] Nečas J.: Les méthodes directes en théorie des équations elliptiques.Academia, Prague 1967. MR 0227584 |
| Reference:
|
[5] Nečas J.: Fredholm theory of boundary value problems for nonlinear ordinary differential operators.Theory of Nonlinear Operators. Academia, Prague, 1973, 85-119. (Proceedings of the Summer School held in September 1971 at Babylon, Czechoslovakia). MR 0402562 |
| . |
