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Singular elliptic equations with directional diffusion

  • Received: 14 January 2020 Accepted: 28 April 2020 Published: 24 July 2020
  • We investigate conditions for the existence and uniqueness of viscosity solutions of the Dirichlet problem for a degenerate elliptic equation describing a stationary diffusion, which may take place in a partial number of spatial directions, with a possibly singular reaction term.

    Citation: Antonio Vitolo. Singular elliptic equations with directional diffusion[J]. Mathematics in Engineering, 2021, 3(3): 1-16. doi: 10.3934/mine.2021027

    Related Papers:

  • We investigate conditions for the existence and uniqueness of viscosity solutions of the Dirichlet problem for a degenerate elliptic equation describing a stationary diffusion, which may take place in a partial number of spatial directions, with a possibly singular reaction term.


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