| Title:
|
Decaying positive solutions of some quasilinear differential equations (English) |
| Author:
|
Tadie |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
39-47 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The existence of decaying positive solutions in ${\Bbb R}_+$ of the equations $(E_\lambda )$ and $(E_\lambda^1)$ displayed below is considered. From the existence of such solutions for the subhomogeneous cases (i.e. $t^{1-p} F(r,tU,t|U'|) \searrow 0$ as $t \nearrow \infty $), a super-sub-solutions method (see \S\,2.2) enables us to obtain existence theorems for more general cases. (English) |
| Keyword:
|
quasilinear elliptic |
| Keyword:
|
integral operators |
| Keyword:
|
fixed points theory |
| MSC:
|
34B15 |
| MSC:
|
34C10 |
| MSC:
|
34C99 |
| MSC:
|
35B05 |
| MSC:
|
35J60 |
| MSC:
|
35J65 |
| MSC:
|
35J70 |
| idZBL:
|
Zbl 0944.34005 |
| idMR:
|
MR1622320 |
| . |
| Date available:
|
2009-01-08T18:38:40Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118982 |
| . |
| Reference:
|
[1] Hardy G.H et al.: Inegalities.Cambridge Press (1934). |
| Reference:
|
[2] Istratescu V.I.: Fixed Point Theory.Math. and its Appl., Reidel Publ. (1981). Zbl 0465.47035, MR 0620639 |
| Reference:
|
[3] Kawano N., Yanagida E., Yotsutani S.: Structure theorems for positive radial solutions to $ {div} (|Du|^{m-2} Du) + K(|x|)u^q =0$ in ${\Bbb R}^n$.J. Math. Soc. Japan 45 no. 4 (1993), 719-742. Zbl 0803.35040, MR 1239344 |
| Reference:
|
[4] Kusano T., Swanson C.A.: Radial entire solutions of a class of quasilinear elliptic equations.J.D.E. 83 (1990), 379-399. Zbl 0703.35060, MR 1033194 |
| Reference:
|
[5] Tadie: Weak and classical positive solutions of some elliptic equations in ${\Bbb R}^n$, $n\geq 3$: radially symmetric cases.Quart. J. Oxford 45 (1994), 397-406. MR 1295583 |
| Reference:
|
[6] Tadie: Subhomogeneous and singular quasilinear Emden-type ODE.to appear. Zbl 1058.34505 |
| Reference:
|
[7] Yasuhiro F., Kusano T., Akio O.: Symmetric positive entire solutions of second order quasilinear degenerate elliptic equations.Arch. Rat. Mech. Anal. 127 (1994), 231-254. Zbl 0807.35035, MR 1288603 |
| Reference:
|
[8] Yin Xi Huang: Decaying positive entire solutions of the p-Laplacian.Czech. Math. J. 45 no. 120 (1995), 205-220. MR 1331458 |
| . |
