Multiplicity of positive solutions for an indefinite superlinear elliptic problem on RN
Annales de l'I.H.P. Analyse non linéaire (2004)
- Volume: 21, Issue: 5, page 657-672
- ISSN: 0294-1449
Access Full Article
topHow to cite
topDu, Yihong. "Multiplicity of positive solutions for an indefinite superlinear elliptic problem on RN." Annales de l'I.H.P. Analyse non linéaire 21.5 (2004): 657-672. <http://eudml.org/doc/78633>.
@article{Du2004,
author = {Du, Yihong},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {Global bifurcation; a priori estimates},
language = {eng},
number = {5},
pages = {657-672},
publisher = {Elsevier},
title = {Multiplicity of positive solutions for an indefinite superlinear elliptic problem on RN},
url = {http://eudml.org/doc/78633},
volume = {21},
year = {2004},
}
TY - JOUR
AU - Du, Yihong
TI - Multiplicity of positive solutions for an indefinite superlinear elliptic problem on RN
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2004
PB - Elsevier
VL - 21
IS - 5
SP - 657
EP - 672
LA - eng
KW - Global bifurcation; a priori estimates
UR - http://eudml.org/doc/78633
ER -
References
top- [1] Alama S., Tarantello G., On semilinear elliptic equations with indefinite nonlinearities, Calc. Var.1 (1993) 439-475. Zbl0809.35022MR1383913
- [2] Amann H., Multiple positive fixed points of asymptotically linear maps, J. Funct. Anal.17 (1974) 174-213. Zbl0287.47037MR350528
- [3] Amann H., Lopez-Gomez J., A priori bounds and multiple solutions for superlinear indefinite elliptic problems, J. Differential Equations146 (1998) 336-374. Zbl0909.35044MR1631287
- [4] Berestycki H., Capuzzo-Dolcetta I., Nirenberg L., Superlinear indefinite elliptic problems and nonlinear Liouville theorems, Topol. Methods Nonl. Anal.4 (1994) 59-78. Zbl0816.35030MR1321809
- [5] Berestycki H., Capuzzo-Dolcetta I., Nirenberg L., Variational methods for indefinite superlinear homogeneous elliptic problems, Nonlinear Differential Equations Appl.2 (1995) 553-572. Zbl0840.35035MR1356874
- [6] Berestycki H., Lions P.L., Some applications of the method of sub- and super-solutions, in: Lecture Notes in Math., vol. 782, Springer-Verlag, Berlin, 1980, pp. 16-41. Zbl0433.35023MR572249
- [7] Costa D.G., Tehrani H., Existence of positive solutions for a class of indefinite elliptic problems in RN, Calc. Var.13 (2001) 159-189. Zbl1077.35045MR1861096
- [8] Crandall M.G., Rabinowitz P.H., Bifurcation from simple eigenvalues, J. Funct. Anal.8 (1971) 321-340. Zbl0219.46015MR288640
- [9] Du Y., The structure of the solution set of a class of nonlinear eigenvalue problems, J. Math. Anal. Appl.170 (1992) 567-580. Zbl0784.35080MR1188572
- [10] Du Y., Guo Y., Mountain pass solutions and an indefinite superlinear elliptic problem on RN, Topological Methods in Nonl. Anal.22 (2003) 69-92. Zbl1254.35066MR2037267
- [11] Du Y., Huang Q., Blow-up solutions for a class of semilinear elliptic and parabolic equations, SIAM J. Math. Anal.31 (1999) 1-18. Zbl0959.35065MR1720128
- [12] Y. Du, S.J. Li, Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations, preprint, Univ. of New England, 2003.
- [13] Du Y., Ma L., Logistic type equations on RN by a squeezing method involving boundary blow-up solutions, J. London Math. Soc.64 (2001) 107-124. Zbl1018.35045MR1840774
- [14] Gilbarg D., Trudinger N.S., Elliptic Partial Differential Equation of Second Order, Springer-Verlag, 1977. Zbl0361.35003MR473443
- [15] Lions P.L., On the existence of positive solutions of semilinear elliptic equations, SIAM Rev.24 (1982) 441-467. Zbl0511.35033MR678562
- [16] Marcus M., Veron L., Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations, Ann. Inst. H. Poincare Anal. Nonlineaire14 (1997) 237-274. Zbl0877.35042MR1441394
- [17] Ouyang T., On the positive solutions of the semilinear equation Δu+λu+hup=0 on compact manifolds, Part II, Indiana Univ. Math. J.40 (1991) 1083-1141. Zbl0773.35020
- [18] Rabinowitz P.H., Some global results for nonlinear eigenvalue problems, J. Funct. Anal.7 (1971) 487-513. Zbl0212.16504MR301587
- [19] Tehrani H.T., On indefinite superlinear elliptic equations, Calc. Var.4 (1996) 139-153. Zbl0852.35052MR1379197
- [20] Whyburn G.T., Topological Analysis, Princeton Univ. Press, Princeton, 1958. Zbl0080.15903MR99642
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.