| Title:
|
On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball (English) |
| Author:
|
Oswald, P. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
26 |
| Issue:
|
3 |
| Year:
|
1985 |
| Pages:
|
565-577 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35A05 |
| MSC:
|
35A30 |
| MSC:
|
35B45 |
| MSC:
|
35J65 |
| MSC:
|
35P30 |
| idZBL:
|
Zbl 0612.35055 |
| idMR:
|
MR817827 |
| . |
| Date available:
|
2008-06-05T21:22:21Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106393 |
| . |
| Reference:
|
[1] D. G. de FIGUEIREDO P.-L. LIONS R. D. NUSSBAUM: A priori estimates and existence of positive solutions of semilinear elliptic equations.J. Math, pures et appl. 61 (1982), 41-63. MR 0664341 |
| Reference:
|
[2] R. E. L. TURNER: A priori bounds for positive solutions ot nonlinear elliptic equations in two variables.Duke Math. J. 41 (1974), 759-774. MR 0364859 |
| Reference:
|
[3] R. NUSSBAUM: Positive solutions of some nonlinear elliptic boundary value problems.J. Math. Anal. Appl. 51 (1975), 461-482. MR 0382850 |
| Reference:
|
[4] H. BREZIS R. E. L. TURNER: On a class of superlinear elliptic problems.Comm. in P.D.E. 2 (1977), 601-614. MR 0509489 |
| Reference:
|
[5] S. I. POHOZAEV: Eigenfunctions of the equation $\Delta u + \lambda \cdot f(u) = 0$.Soviet Math. Dokl. 6 (1965), 1408-1411. MR 0192184 |
| Reference:
|
[6] B. GIDAS W.-M. NI L. NIRENBERG: Symmetric and related properties via the maximum principle.Comm. Math. Phys. 68 (1979), 209-243. MR 0544879 |
| Reference:
|
[7] M. PROTTER H. WEINBERGER: Maximum principles in differential equations.Prentice Hall, Englewood Cliffs, 1967. MR 0219861 |
| . |
