Superlinear elliptic boundary value problems

Ravindran Kannan; Rafael Ortega

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 3, page 386-399
  • ISSN: 0011-4642

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Kannan, Ravindran, and Ortega, Rafael. "Superlinear elliptic boundary value problems." Czechoslovak Mathematical Journal 37.3 (1987): 386-399. <http://eudml.org/doc/13650>.

@article{Kannan1987,
author = {Kannan, Ravindran, Ortega, Rafael},
journal = {Czechoslovak Mathematical Journal},
keywords = {two-side unbounded; superlinear; one-side unbounded; estimates; multiplicity of solutions; a priori bounds; upper and lower solutions; Leray-Schauder degree},
language = {eng},
number = {3},
pages = {386-399},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Superlinear elliptic boundary value problems},
url = {http://eudml.org/doc/13650},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Kannan, Ravindran
AU - Ortega, Rafael
TI - Superlinear elliptic boundary value problems
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 3
SP - 386
EP - 399
LA - eng
KW - two-side unbounded; superlinear; one-side unbounded; estimates; multiplicity of solutions; a priori bounds; upper and lower solutions; Leray-Schauder degree
UR - http://eudml.org/doc/13650
ER -

References

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  2. Ambrosetti A., Differential equations with multiple solutions and nonlinear functional analysis, ISAS Lecture Notes, Trieste (1982). (1982) MR0726565
  3. Ambrosetti A., and Prodi G., 10.1007/BF02412022, Ann. Mat. Pura Appl. 93 (1973), 231-247. (1973) MR0320844DOI10.1007/BF02412022
  4. Brezis H., and Turner R. E. L., 10.1080/03605307708820041, Comm. in P. D. E. 2 (1977), 601-614. (1977) MR0509489DOI10.1080/03605307708820041
  5. Castro A., Periodic solutions of the forced pendulum equation. In Differential Equations, ed. by Ahmad, Keener, Lazer (1980), 149-160, Academic Press, New York. (1980) MR0580791
  6. de Figueiredo D. G., Positive solutions of semilinear elliptic problems, In Proceedings of Sao Paulo 1981 Conference on Diff. Eqs. Lecture Notes in Mathematics 957, SpringerVerlag. (1981) 
  7. Fučík S., Solvability of Nonlinear Equations and Boundary Value Problems, D. Reidel Publishing Company, Holland, U.S.A., England. MR0620638
  8. Kannan R., and Ortega R., Landesman-Lazer conditions for problems with 'one-side unbounded' nonlinearities, (to appear). MR1306589
  9. Landesman E. M., and Lazer A. C, Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Math. Mech. 19 (1970), 609-623. (1970) MR0267269
  10. McKenna P. J., 10.1090/S0002-9939-1979-0524297-1, Proc. Amer. Math. Soc. 74 (1979), 259-265. (1979) Zbl0499.35048MR0524297DOI10.1090/S0002-9939-1979-0524297-1
  11. Kenig С., Ni W., 10.1090/S0002-9939-1983-0712633-3, Proc. of the Amer. Math. Soc. 89 (1983), 254-258. (1983) MR0712633DOI10.1090/S0002-9939-1983-0712633-3
  12. Ward J. R., Jr., 10.1016/0362-546X(82)90022-0, J. Nonlinear Anal. 6 (1982), 367-374. (1982) MR0654812DOI10.1016/0362-546X(82)90022-0
  13. Ward J. R., Jr., 10.1016/0022-0396(82)90062-6, J. Diff. Eq. 45 (1982), 156-167. (1982) Zbl0515.34003MR0665993DOI10.1016/0022-0396(82)90062-6
  14. Hess P., and Ruf В., On a superlinear BVP, Math. Z. 164 (1978) 9-16. (1978) MR0514603

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