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Volume 33, Issue 1
Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 Data

Hichem Khelifi & Fares Mokhtari

DOI: 10.4208/jpde.v33.n1.1

J. Part. Diff. Eq., 33 (2020), pp. 1-16.

Published online: 2020-03

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  • Abstract

This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and $L^1$ datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.

  • Keywords

Sobolev spaces with variable exponents, anisotropic equations, elliptic equations, $L^1$ data.

  • AMS Subject Headings

35J70, 35J60, 35D30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

khelifi.hichemedp@gmail.com (Hichem Khelifi)

f.mokhtari@univ-alger.dz (Fares Mokhtari)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-33-1, author = {Khelifi , Hichem and Mokhtari , Fares}, title = {Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 Data}, journal = {Journal of Partial Differential Equations}, year = {2020}, volume = {33}, number = {1}, pages = {1--16}, abstract = {

This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and $L^1$ datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v33.n1.1}, url = {http://global-sci.org/intro/article_detail/jpde/15800.html} }
TY - JOUR T1 - Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 Data AU - Khelifi , Hichem AU - Mokhtari , Fares JO - Journal of Partial Differential Equations VL - 1 SP - 1 EP - 16 PY - 2020 DA - 2020/03 SN - 33 DO - http://doi.org/10.4208/jpde.v33.n1.1 UR - https://global-sci.org/intro/article_detail/jpde/15800.html KW - Sobolev spaces with variable exponents, anisotropic equations, elliptic equations, $L^1$ data. AB -

This paper is devoted to the study of a nonlinear anisotropic elliptic equation with degenerate coercivity, lower order term and $L^1$ datum in appropriate anisotropic variable exponents Sobolev spaces. We obtain the existence of distributional solutions.

Khelifi , Hichem and Mokhtari , Fares. (2020). Nonlinear Degenerate Anisotropic Elliptic Equations with Variable Exponents and L1 Data. Journal of Partial Differential Equations. 33 (1). 1-16. doi:10.4208/jpde.v33.n1.1
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