Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces

Abdelali Sabri; Ahmed Jamea; Hamad Talibi Alaoui

Mathematica Bohemica (2022)

  • Volume: 147, Issue: 1, page 113-129
  • ISSN: 0862-7959

Abstract

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In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.

How to cite

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Sabri, Abdelali, Jamea, Ahmed, and Talibi Alaoui, Hamad. "Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces." Mathematica Bohemica 147.1 (2022): 113-129. <http://eudml.org/doc/297975>.

@article{Sabri2022,
abstract = {In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.},
author = {Sabri, Abdelali, Jamea, Ahmed, Talibi Alaoui, Hamad},
journal = {Mathematica Bohemica},
language = {eng},
number = {1},
pages = {113-129},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces},
url = {http://eudml.org/doc/297975},
volume = {147},
year = {2022},
}

TY - JOUR
AU - Sabri, Abdelali
AU - Jamea, Ahmed
AU - Talibi Alaoui, Hamad
TI - Weak solution for nonlinear degenerate elliptic problem with Dirichlet-type boundary condition in weighted Sobolev spaces
JO - Mathematica Bohemica
PY - 2022
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 147
IS - 1
SP - 113
EP - 129
AB - In the present paper, we prove the existence and uniqueness of weak solution to a class of nonlinear degenerate elliptic $p$-Laplacian problem with Dirichlet-type boundary condition, the main tool used here is the variational method combined with the theory of weighted Sobolev spaces.
LA - eng
UR - http://eudml.org/doc/297975
ER -

References

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