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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.
Khafagy , S. A.. (2016). 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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