@article{CMJ_1997_47_4_a12,
author = {Furusho, Yasuhiro and Kusano, Taka\^{s}i},
title = {A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$},
journal = {Czechoslovak Mathematical Journal},
pages = {749--768},
year = {1997},
volume = {47},
number = {4},
mrnumber = {1479317},
zbl = {0899.35033},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1997_47_4_a12/}
}
TY - JOUR
AU - Furusho, Yasuhiro
AU - Kusano, Takaŝi
TI - A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$
JO - Czechoslovak Mathematical Journal
PY - 1997
SP - 749
EP - 768
VL - 47
IS - 4
UR - http://geodesic.mathdoc.fr/item/CMJ_1997_47_4_a12/
LA - en
ID - CMJ_1997_47_4_a12
ER -
Furusho, Yasuhiro; Kusano, Takaŝi. A supersolution-subsolution method for nonlinear biharmonic equations in $\mathbb{R}^N$. Czechoslovak Mathematical Journal, Tome 47 (1997) no. 4, pp. 749-768. http://geodesic.mathdoc.fr/item/CMJ_1997_47_4_a12/
[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
[2] P. Drábek: Solvability and bifurcations of nonlinear equations. Longman, New York, 1992. | MR
[3] S. Fučík: Solvability of nonlinear equations and boundary value problems. Reidel Publishing Company, Doudrecht-Boston-London, 1980. | MR
[4] S. Fučík and A. Kufner: Nonlinear differential equations. Elsevier, Amsterdam-Oxford-New York, 1980. | MR
[5] N. Fukagai: On decaying entire solutions of second order sublinear elliptic equations. Hiroshima Math. J. 14 (1984), 551–562. | DOI | MR
[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
[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. | DOI | MR
[8] Y. Furusho and T. Kusano: Symmetric positive entire solutions for nonlinear biharmonic equations. Differentsial’nye Uravneniya 31(2) (1995), 296–311. | MR
[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. | DOI | MR
[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. | DOI | MR
[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. | DOI | MR
[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. | DOI | MR
[13] E.S. Noussair: On the existence of solutions of semilinear elliptic boundary value problems. J. Differential Equations 34 (1979), 482–495. | DOI | MR