| Title:
|
A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$ (English) |
| Author:
|
Furusho, Yasuhiro |
| Author:
|
Kusano, Takaŝi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
749-768 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35B45 |
| MSC:
|
35J30 |
| MSC:
|
35J40 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0899.35033 |
| idMR:
|
MR1479317 |
| . |
| Date available:
|
2009-09-24T10:10:16Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127391 |
| . |
| Reference:
|
[1] K. Akô and T. Kusano: On bounded solutions of second order elliptic differential equations.J. Fac. Sci. Univ. Tokyo, Sect. I 11 (1964), 29–37. MR 0171988 |
| Reference:
|
[2] P. Drábek: Solvability and bifurcations of nonlinear equations.Longman, New York, 1992. MR 1175397 |
| Reference:
|
[3] S. Fučík: Solvability of nonlinear equations and boundary value problems.Reidel Publishing Company, Doudrecht-Boston-London, 1980. MR 0620638 |
| Reference:
|
[4] S. Fučík and A. Kufner: Nonlinear differential equations.Elsevier, Amsterdam-Oxford-New York, 1980. MR 0558764 |
| Reference:
|
[5] N. Fukagai: On decaying entire solutions of second order sublinear elliptic equations.Hiroshima Math. J. 14 (1984), 551–562. MR 0772986, 10.32917/hmj/1206132936 |
| Reference:
|
[6] Y. Furusho: Existence of positive entire solutions of weakly coupled semilinear elliptic systems.Proc. Royal Soc. Edinburgh Sect. A 120 (1992), 79–91. MR 1149985 |
| Reference:
|
[7] Y. Furusho and T. Kusano: Existence of positive entire solutions for higher order quasilinear elliptic equations.J. Math. Soc. Japan 46 (1994), 449–465. MR 1276832, 10.2969/jmsj/04630449 |
| Reference:
|
[8] Y. Furusho and T. Kusano: Symmetric positive entire solutions for nonlinear biharmonic equations.Differentsial’nye Uravneniya 31(2) (1995), 296–311. MR 1373791 |
| Reference:
|
[9] T. Kusano, M. Naito and C.A. Swanson: Radial entire solutions of even order semilinear elliptic equations.Canad. J. Math. 40 (1988), 1281–1300. MR 0990098, 10.4153/CJM-1988-056-3 |
| Reference:
|
[10] T. Kusano and S. Oharu: Bounded entire solutions of second order semilinear elliptic equations with application to a parabolic initial value problem.Indiana Univ. Math. J. 34 (1985), 85–95. MR 0773394, 10.1512/iumj.1985.34.34004 |
| Reference:
|
[11] T. Kusano and C.A. Swanson: A general method for quasilinear elliptic problems in $\mathbb{R}^N$.J. Math. Anal. Appl. 167 (1992), 414–428. MR 1168598, 10.1016/0022-247X(92)90216-Z |
| Reference:
|
[12] W.-M. Ni: On the elliptic equation $\Delta u + K(x)u^{(n+2)/(n-2)} = 0$, its generalizations, and applications in geometry.Indiana Univ. Math. J. 31 (1982), 493–529. MR 0662915, 10.1512/iumj.1982.31.31040 |
| Reference:
|
[13] E.S. Noussair: On the existence of solutions of semilinear elliptic boundary value problems.J. Differential Equations 34 (1979), 482–495. MR 0555323, 10.1016/0022-0396(79)90032-9 |
| . |
