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Article

Title: Superlinear elliptic boundary value problems (English)
Author: Kannan, R.
Author: Ortega, Rafael
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 37
Issue: 3
Year: 1987
Pages: 386-399
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Category: math
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MSC: 35J65
idZBL: Zbl 0668.35032
idMR: MR904766
DOI: 10.21136/CMJ.1987.102166
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Date available: 2008-06-09T15:16:36Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/102166
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Reference: [2] Ambrosetti A.: Differential equations with multiple solutions and nonlinear functional analysis.ISAS Lecture Notes, Trieste (1982). MR 0726565
Reference: [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. MR 0320844, 10.1007/BF02412022
Reference: [4] Brezis H., and Turner R. E. L.: On a class of superlinear elliptic problems.Comm. in P. D. E. 2 (1977), 601-614. MR 0509489, 10.1080/03605307708820041
Reference: [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 0580791
Reference: [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.
Reference: [7] Fučík S.: Solvability of Nonlinear Equations and Boundary Value Problems.D. Reidel Publishing Company, Holland, U.S.A., England. MR 0620638
Reference: [8] Kannan R., and Ortega R.: Landesman-Lazer conditions for problems with 'one-side unbounded' nonlinearities.(to appear). MR 1306589
Reference: [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 0267269
Reference: [10] McKenna P. J.: On a superlinear elliptic boundary value problem at resonance.Proc. Amer. Math. Soc. 74 (1979), 259-265. Zbl 0499.35048, MR 0524297, 10.1090/S0002-9939-1979-0524297-1
Reference: [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. MR 0712633, 10.1090/S0002-9939-1983-0712633-3
Reference: [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. MR 0654812, 10.1016/0362-546X(82)90022-0
Reference: [13] Ward J. R., Jr.: Existence for a class of semilinear problems at resonance.J. Diff. Eq. 45 (1982), 156-167. Zbl 0515.34003, MR 0665993, 10.1016/0022-0396(82)90062-6
Reference: [14] Hess P., and Ruf В.: On a superlinear BVP.Math. Z. 164 (1978) 9-16. MR 0514603
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