Remarks on sublinear elliptic problems on unbounded cylinders

Journal of Mathematical Analysis and Applications

Volumn 201, Issue 2, 1996, Pages 417-429

  Goncalves J V ^a   De Padua J C ^b   Carriao P C ^b  

^a UNIVERSITY OF BRASILIA   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030585887     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0264     Document Type: Article

References (21)

1. 1. C. Amick and J. Toland, Nonlinear elliptic eigenvalue problems on an infinite strip - Global theory of bifurcation and asymptotic bifurcation, Math. Ann. 262 (1983), 313-342.
2. P on an unbounded symmetrical domain, Math. Ann. 263 (1983), 51-59.
3. 3. M. Esteban, Nonlinear elliptic problems in strip-like domains, Nonlinear Anal. 7 (1983), 365-379.
4. 4. G. Burton, Semilinear elliptic problems on unbounded domains, Math. Z. 190 (1985), 519-525.
5. 5. J. Bona, D. Bose, and R. Turner, Finite-amplitude steady waves in stratified fluids, J. Math. Pures Appl. 62 (1983), 389-439.
6. 6. I. Schindler, Quasilinear elliptic boundary value problems on unbounded cylinders and a related mountain pass lemma, Arch. Rational Mech. Anal. 120 (1992), 363-374.
7. 7. D. Costa and O. Miyagaki, Nontrivial solutions for perturbations of the p-Laplacian on unbounded domains, preprint series, UNLV, 1994.
8. N, preprint.
9. N with Critical Growth," Tech. Rep. No. 94-12, Univ. Wisconsin-CMS, 1994.
10. 10. W. Omana and M. Willem, Homoclinic orbits for a class of Hamiltonian systems, Differential Integral Equations 5 (1992), 1115-1120.
11. 11. J. Mawhin, M. Willem, and J. Ward, Variational methods and semilinear elliptic equations, Arch. Rational Mech. Anal. 95 (1986), 269-277.
12. 12. H. Brezis and L. Oswald, Remarks on sublinear elliptic equations, Nonlinear Anal. 10 (1986), 55-64.
13. 13. A. Anane and J. Gossez, Strongly nonlinear elliptic problems near resonance: A variational approach, Comm. Partial Differential Equations 15 (1990), 1141-1159.
14. 14. D. deFigueiredo and J. Gossez, Un probleme elliptique semilinéare sans condition de croissance, C.R. Acad. Sci. Paris 308 (1989), 277-280.
15. 15. D. deFigueiredo and I. Massabó, Semilinear elliptic equations with the primitive of the nonlinearity interacting with the first eigenvalue, J. Math. Anal. Appl. 156 (1991), 381-394.
16. 16. H. Brezis, "Analyse Fonctionnelle," Masson, Paris, 1983.
17. 17. P. Rabinowitz, On a class of nonlinear Schrödinger equations, Z. Angew. Math Phys. 43 (1992), 290-291.
18. N, Manuscripta Math. 74 (1992), 87-106.
19. 19. J. V. Gonçalves, On nonresonant sublinear elliptic problems, Nonlinear Anal. 15 (1990), 915-920.
20. 20. H. Berestycki and P. L. Lions, Nonlinear scalar field equations. I. Existence of a ground state, Arch Rational Mech. Anal. 82 (1983), 313-345.
21. N, preprint.