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Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem

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  • B. K. Bonzi
  • S. Ouaro
  • F. D. Y. Zongo

Abstract

We prove the existence and uniqueness of entropy solution for nonlinear anisotropic elliptic equations with Neumann homogeneous boundary value condition for -data. We prove first, by using minimization techniques, the existence and uniqueness of weak solution when the data is bounded, and by approximation methods, we prove a result of existence and uniqueness of entropy solution.

Suggested Citation

  • B. K. Bonzi & S. Ouaro & F. D. Y. Zongo, 2013. "Entropy Solutions for Nonlinear Elliptic Anisotropic Homogeneous Neumann Problem," International Journal of Differential Equations, Hindawi, vol. 2013, pages 1-14, April.
    • Handle: RePEc:hin:jnijde:476781
    DOI: 10.1155/2013/476781
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