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Volume 29, Issue 2
Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators

S. A. Khafagy

DOI: 10.4208/jpde.v29.n2.1

J. Part. Diff. Eq., 29 (2016), pp. 89-101.

Published online: 2016-07

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  • Abstract
In this work we give necessary and sufficient conditions to have a maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of Rn and then we prove the existence of positive weak solutions for the same system by using the Browder theorem method.
  • Keywords

Maximamprinciple weak solution singular p-Laplacian Browder theorem method

  • AMS Subject Headings

35B50, 35D30, 35J92

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

el_gharieb@hotmail.com (S. A. Khafagy)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-29-89, author = {Khafagy , S. A.}, title = {Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators}, journal = {Journal of Partial Differential Equations}, year = {2016}, volume = {29}, number = {2}, pages = {89--101}, abstract = { In this work we give necessary and sufficient conditions to have a maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of Rn and then we prove the existence of positive weak solutions for the same system by using the Browder theorem method.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v29.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/5081.html} }
TY - JOUR T1 - Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators AU - Khafagy , S. A. JO - Journal of Partial Differential Equations VL - 2 SP - 89 EP - 101 PY - 2016 DA - 2016/07 SN - 29 DO - http://doi.org/10.4208/jpde.v29.n2.1 UR - https://global-sci.org/intro/article_detail/jpde/5081.html KW - Maximamprinciple KW - weak solution KW - singular p-Laplacian KW - Browder theorem method AB - In this work we give necessary and sufficient conditions to have a maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of Rn and then we prove the existence of positive weak solutions for the same system by using the Browder theorem method.
S. A. Khafagy. (2019). Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators. Journal of Partial Differential Equations. 29 (2). 89-101. doi:10.4208/jpde.v29.n2.1
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