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Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L<sup>1</sup> Data

Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L<sup>1</sup> Data

Year:    2020

Author:    Hichem Khelifi, Fares Mokhtari

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 1–16

Abstract

This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and L1 datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v33.n1.1

Journal of Partial Differential Equations, Vol. 33 (2020), Iss. 1 : pp. 1–16

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Sobolev spaces with variable exponents anisotropic equations elliptic equations L1 data.

Author Details

Hichem Khelifi Email

Fares Mokhtari Email

  1. Anisotropic degenerate elliptic problem with a singular nonlinearity

    Zouatini, Mohamed Amine

    Khelifi, Hichem

    Mokhtari, Fares

    Advances in Operator Theory, Vol. 8 (2023), Iss. 1

    https://doi.org/10.1007/s43036-022-00240-y [Citations: 4]