| Title:
|
Decaying positive entire solutions of the $p$-Laplacian (English) |
| Author:
|
Huang, Yin Xi |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
45 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
205-220 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34A34 |
| MSC:
|
35B05 |
| MSC:
|
35B40 |
| MSC:
|
35B45 |
| MSC:
|
35J60 |
| idZBL:
|
Zbl 0841.35034 |
| idMR:
|
MR1331458 |
| DOI:
|
10.21136/CMJ.1995.128523 |
| . |
| Date available:
|
2009-09-24T09:46:10Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128523 |
| . |
| Reference:
|
[1] W. Allegretto: On positive $L^\infty $ solutions of a class of elliptic systems.Math. Z. 191 (1986), 479–484. MR 0824448, 10.1007/BF01162722 |
| Reference:
|
[2] W. Allegretto and Y.X. Huang: Existence of positive global solutions of mixed sublinear-superlinear problems.Can. J. Math. 40 (1988), 1222–1242. MR 0973518, 10.4153/CJM-1988-052-4 |
| Reference:
|
[3] M.-F. Bidaut-Veron: Local and global behavior of solutions of quasilinear equations of Emden-Fowler type.Arch. Rat. Mech. Anal. 107 (1989), 293–324. MR 1004713, 10.1007/BF00251552 |
| Reference:
|
[4] R. Dalmasso: Solutions positives globales d’équations elliptiques semi-linéaires singulières.Bull. Sc. Math. Ser. 2, 112 (1988), 65–76. Zbl 0647.35028, MR 0942799 |
| Reference:
|
[5] A.L. Edelson: Entire solutions of singular elliptic equations.J. Math. Anal. Appl. 139 (1989), 523–532. Zbl 0679.35003, MR 0996976, 10.1016/0022-247X(89)90126-1 |
| Reference:
|
[6] A. Friedman and L. Veron: Singular solutions of some quasilinear elliptic equations.Arch. Rat. Mech. Anal. 96 (1986), 259–287. MR 0855755, 10.1007/BF00251804 |
| Reference:
|
[7] Y. Furusho: On decaying entire positive solutions of semilinear elliptic equations.Japan. J. Math. 14 (1988), 97–118. Zbl 0676.35028, MR 0945620, 10.4099/math1924.14.97 |
| Reference:
|
[8] D. Gilbarg and N.S. Trudinger: Elliptic Partial Differential Equations of Second Order, 2nd edition.Springer-Verlag, N.Y., 1983.. MR 0737190 |
| Reference:
|
[9] M. Guedda and L. Veron: Local and global properties of solutions of quasilinear elliptic equations.J. Diff. Equa. 76 (1988), 159–189. MR 0964617, 10.1016/0022-0396(88)90068-X |
| Reference:
|
[10] N. Kawano, J. Satsuma and S. Yotsutani: Existence of positive entire solutions of an Emden-type elliptic equation.Funkcialaj Ekvacioj 31 (1988), 121–145. MR 0951770 |
| Reference:
|
[11] T. Kura: The weak supersolution-subsolution method for second order quasilinear elliptic equations.Hiroshima Math. J. 19 (1989), 1–36. Zbl 0735.35056, MR 1009660, 10.32917/hmj/1206129479 |
| Reference:
|
[12] T. Kusano and C.A. Swanson: Entire positive solutions of singular semilinear elliptic equations.Japan. J. Math. 11 (1985), 145–155. MR 0877461, 10.4099/math1924.11.145 |
| Reference:
|
[13] T. Kusano and C.A. Swanson: Decaying entire positive solutions of quasilinear elliptic equations.Mh. Math. 101 (1986), 39–51. MR 0830609, 10.1007/BF01326845 |
| Reference:
|
[14] T. Kusano and C.A. Swanson: Radial entire solutions of a class of quasilinear elliptic equations.J. Diff. Eq. 83 (1990), 379–399. MR 1033194, 10.1016/0022-0396(90)90064-V |
| Reference:
|
[15] T. Kusano and W.F. Trench: Global existence of solutions of mixed sublinear-superlinear differential equations.Hiroshima Math. J. 16 (1986), 597–606. MR 0867582, 10.32917/hmj/1206130310 |
| Reference:
|
[16] Y. Li and W.M. Ni: On conformal scalar curvature equations in $R^n$.Duke Math. J. 57 (1988), 895–924. MR 0975127, 10.1215/S0012-7094-88-05740-7 |
| Reference:
|
[17] W.M. Ni: Some aspects of semilinear elliptic equations in $R^n$.Nonlinear Diffusion Equations and Their Equalibrium States, Vol. 2 W.M. Ni, L.A. Peletier and J. Serrin (eds.), 1988, pp. 171–205. MR 0956087 |
| Reference:
|
[18] W.M. Ni and J. Serrin: Nonexistence theorems for singular solutions of quasilinear partial differential equations.Comm. Pure Appl. Math. 38 (1986), 379–399. MR 0829846, 10.1002/cpa.3160390306 |
| Reference:
|
[19] J. Serrin: Local behavior of solutions of quasilinear equations.Acta Math. 111 (1964), 247–302. MR 0170096, 10.1007/BF02391014 |
| Reference:
|
[20] P. Tolksdorf: On the Dirichlet problem for quasilinear equations in domains with conical boundary points.Comm. P.D.E. 8 (1983), 773–817. Zbl 0515.35024, MR 0700735, 10.1080/03605308308820285 |
| . |
