Voir la notice de l'article provenant de la source Cambridge University Press
PENG, CHAOQUAN; YANG, JIANFU. POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 377-390. doi: 10.1017/S0017089507003588
@article{10_1017_S0017089507003588,
author = {PENG, CHAOQUAN and YANG, JIANFU},
title = {POSITIVE {SOLUTIONS} {FOR} {ASYMPTOTICALLY} {LINEAR} {ELLIPTIC} {SYSTEMS}},
journal = {Glasgow mathematical journal},
pages = {377--390},
year = {2007},
volume = {49},
number = {2},
doi = {10.1017/S0017089507003588},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003588/}
}
TY - JOUR AU - PENG, CHAOQUAN AU - YANG, JIANFU TI - POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS JO - Glasgow mathematical journal PY - 2007 SP - 377 EP - 390 VL - 49 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003588/ DO - 10.1017/S0017089507003588 ID - 10_1017_S0017089507003588 ER -
%0 Journal Article %A PENG, CHAOQUAN %A YANG, JIANFU %T POSITIVE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC SYSTEMS %J Glasgow mathematical journal %D 2007 %P 377-390 %V 49 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003588/ %R 10.1017/S0017089507003588 %F 10_1017_S0017089507003588
[1] 1. Clement, Ph., Figueiredo, D.G. and Mitidieri, E., Positive solutions of semilinear elliptic systems, Comm PDE., 17 (1992), 923–940. Google Scholar | DOI
[2] 2. Costa, D. G. and Miyagaki, O. H., Nontrivial solutions for perturbations of the p-Laplacian on unbounded dimains, J. Math. Anal. Appl. 193 (1995), 737–755. Google Scholar | DOI
[3] 3. de Figueiredo, D. G. and Felmer, P. L., On superquadratic elliptic systems, Trans. Amer. Math. Soc. 343 (1994), 99–106. Google Scholar | DOI
[4] 4. Gilbarg, D. and Trudinger, N. S., Elliptic partial differential equations of second order. (Springer-Verlag, 1977). Google Scholar | DOI
[5] 5. Hulshof, J. and de Vorst, R. C. A. M. Van, Differential systems with strongly indefinite linear part, J. Functional Analysis 114 (1993), 32–58. Google Scholar | DOI
[6] 6. Kryszewski, W. and Szulkin, A., Generalized linking theorem with an application to semilinear Schrddinger equations, Adv. Diff. Equas. 3 (1998), 441–472. Google Scholar
[7] 7. Gongbao, Li and Szulkin, A., An asymptotically periodic Schrddinger equation with indefinite linear part. Comm. Contemp. Math. 4 (2002), 763–776. Google Scholar
[8] 8. Gongbao, Li and Jianfu, Yang, Asymptotically linear elliptic system. Comm PDE. 29 (2004), 925–954. Google Scholar
[9] 9. Gongbao, Li and Huan-Song, Zhou, The existence of a positive solution to asymptotically linear scalar field equations, Proc. Roy. Soc. Edinburgh Sect. A 130 (2000), 81–105. Google Scholar
[10] 10. Chaoquan, Peng and Jianfu, Yang, Nonnegative solutions for nonlinear elliptic systems, J. Math. Anal. Appl. to appear. Google Scholar
[11] 11. Willem, M., Minimax theorems (Birkhauser, 1996). Google Scholar | DOI
[12] 12. Zhou, Huan-Song, An application of mountain pass theorem, Acta Math. Sinica, (N. S), 18 (2002), 27–36. Google Scholar | DOI
[13] 13. de Vorst, R. C. A. M. Van, Variational identities and applications to differential systems, Arch. Rational Mech. Anal. 116 (1991), 375–398. Google Scholar | DOI
Cité par Sources :