Existence of positive entire solutions for higher order quasilinear elliptic equations

Yasuhiro FURUSHO; Takasi KUSANO

doi:10.2969/jmsj/04630449

Yasuhiro FURUSHO, Takasi KUSANO

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JOURNAL FREE ACCESS

1994 Volume 46 Issue 3 Pages 449-465

DOI https://doi.org/10.2969/jmsj/04630449

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Published: 1994 Received: February 12, 1993 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) R. Dalmasso, Solutions d'équations élliptiques semi-linéares d'order 2m, Funkcial. Ekvac., 33 (1990), 277-289.
2) R. Dalmasso, Positive solutions of superlinear biharmonic equations, Funkcial. Ekvac., 34 (1991), 403-422.
3) A.L. Edelson and R. Vakilian, Asymptotic behaviour of higher order semilinear equations, Nonlinear Anal., 15 (1990), 17-26.
4) N. Fukagai, On decaying entire solutions of second order sublinear elliptic equations, Hiroshima Math. J., 14 (1984), 551-562.
5) Y. Furusho, Existence of positive entire solutions of weakly coupled semilinear elliptic systems, Proc. Royal Soc. Edinburgh Sect. A, 120 (1992), 79-91.
6) T. Kusano and M. Naito, Kiguradze class for radial entire solutions of higher order quasilinear elliptic equations, Hiroshima Math. J., 22 (1992), 301-363.
7) T. Kusano, M. Naito and C.A. Swanson, Radial entire solutions to even order semilinear elliptic equations in the plane, Proc. Royal Soc. Edinburgh Sect. A, 105 (1987), 275-287.
8) T. Kusano, M. Naito and C.A. Swanson, Entire solutions of a class of even order quasilinear elliptic equations, Math. Z., 195 (1987), 151-163.
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.
10) T. Kusano and C.A. Swanson, Positive entire solutions of semilinear biharmonic equations, Hiroshima Math. J., 17 (1987), 13-28.
11) T. Kusano and C.A. Swanson, A general method for quasilinear elliptic problems in R^N, J. Math. Anal. Appl., 167 (1992), 414-428.

Right : [1] R. Dalmasso, Solutions d'équations élliptiques semi-linéares d'order 2m, Funkcial. Ekvac., 33 (1990), 277-289.
[2] R. Dalmasso, Positive solutions of superlinear biharmonic equations, Funkcial. Ekvac., 34 (1991), 403-422.
[3] A. L. Edelson and R. Vakilian, Asymptotic behaviour of higher order semilinear equations, Nonlinear Anal., 15 (1990), 17-26.
[4] N. Fukagai, On decaying entire solutions of second order sublinear elliptic equations, Hiroshima Math. J., 14 (1984), 551-562.
[5] Y. Furusho, Existence of positive entire solutions of weakly coupled semilinear elliptic systems, Proc. Royal Soc. Edinburgh Sect. A, 120 (1992), 79-91.
[6] T. Kusano and M. Naito, Kiguradze class for radial entire solutions of higher order quasilinear elliptic equations, Hiroshima Math. J., 22 (1992), 301-363.
[7] T. Kusano, M. Naito and C. A. Swanson, Radial entire solutions to even order semilinear elliptic equations in the plane, Proc. Royal Soc. Edinburgh Sect. A, 105 (1987), 275-287.
[8] T. Kusano, M. Naito and C. A. Swanson, Entire solutions of a class of even order quasilinear elliptic equations, Math. Z., 195 (1987), 151-163.
[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.
[10] T. Kusano and C. A. Swanson, Positive entire solutions of semilinear biharmonic equations, Hiroshima Math. J., 17 (1987), 13-28.
[11] T. Kusano and C. A. Swanson, A general method for quasilinear elliptic problems in R^N, J. Math. Anal. Appl., 167 (1992), 414-428.

Date of correction: October 20, 2006 Reason for correction: - Correction: PDF FILE Details: -

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