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Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations

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  • Fanglei Wang

Abstract

The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of a coupled system of second and fourth order elliptic equations.

Suggested Citation

  • Fanglei Wang, 2014. "Existence of Solutions for a Coupled System of Second and Fourth Order Elliptic Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-4, October.
    • Handle: RePEc:hin:jnlaaa:680919
    DOI: 10.1155/2014/680919
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    Cited by:

    1. Gaurav Dwivedi & Jagmohan Tyagi, 2023. "Biharmonic elliptic problems with second Hessian and gradient nonlinearities," Mathematische Nachrichten, Wiley Blackwell, vol. 296(3), pages 1056-1070, March.
    2. Edcarlos D. Silva & J. C. Albuquerque & T. R. Cavalcante, 2021. "Fourth-order nonlocal type elliptic problems with indefinite nonlinearities," Partial Differential Equations and Applications, Springer, vol. 2(2), pages 1-22, April.
    3. Belal Almuaalemi & Haibo Chen & Sofiane Khoutir, 2020. "Infinitely Many High Energy Solutions for a Fourth-Order Equations of Kirchhoff Type in ℝN," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(1), pages 121-133, March.

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