Superlinear elliptic boundary value problems
Czechoslovak Mathematical Journal, Tome 37 (1987) no. 3, pp. 386-399
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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DOI : 10.21136/CMJ.1987.102166
Classification : 35J65
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Kannan, R.; Ortega, Rafael. Superlinear elliptic boundary value problems. Czechoslovak Mathematical Journal, Tome 37 (1987) no. 3, pp. 386-399. doi: 10.21136/CMJ.1987.102166

[1] Amann H., Ambrosetti A., and Mancini G.: Elliptic equations with non-invertible Fredholm linear part and bounded nonlinearities. Math. Z. 158 (1978), 179-194. | DOI | MR

[2] Ambrosetti A.: Differential equations with multiple solutions and nonlinear functional analysis. ISAS Lecture Notes, Trieste (1982). | MR

[3] Ambrosetti A., and Prodi G.: On the inversion of some differentiable mappings with singularities between Banach spaces. Ann. Mat. Pura Appl. 93 (1973), 231-247. | DOI | MR

[4] Brezis H., and Turner R. E. L.: On a class of superlinear elliptic problems. Comm. in P. D. E. 2 (1977), 601-614. | DOI | MR

[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. | MR

[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.

[7] Fučík S.: Solvability of Nonlinear Equations and Boundary Value Problems. D. Reidel Publishing Company, Holland, U.S.A., England. | MR

[8] Kannan R., and Ortega R.: Landesman-Lazer conditions for problems with 'one-side unbounded' nonlinearities. (to appear). | MR

[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. | MR

[10] McKenna P. J.: On a superlinear elliptic boundary value problem at resonance. Proc. Amer. Math. Soc. 74 (1979), 259-265. | DOI | MR | Zbl

[11] Kenig С., Ni W.: On the existence and boundary behavior of soluions to a class of nonlinear Dirichlet problems. Proc. of the Amer. Math. Soc. 89 (1983), 254-258. | DOI | MR

[12] Ward J. R., Jr.: Perturbations with some superlinear growth for a class of second order elliptic boundary value problem. J. Nonlinear Anal. 6 (1982), 367-374. | DOI | MR

[13] Ward J. R., Jr.: Existence for a class of semilinear problems at resonance. J. Diff. Eq. 45 (1982), 156-167. | DOI | MR | Zbl

[14] Hess P., and Ruf В.: On a superlinear BVP. Math. Z. 164 (1978) 9-16. | MR

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