Degenerated (p, q)-Laplacian With Weights and Related Equations With Convection. (18th November 2021)

• Record Type: Journal Article
• Authors: Motreanu, D.; Nashed, M. Z.
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 15(2021)
• Page Start: 1757
• Page End: 1767
• Publication Date: 2021-11-18
• Subjects: Degenerated (p -- q)-Laplacian with wights -- Dirichlet problem -- convection -- pseudomonotone operator; 35J70 -- 35J62; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.2006697
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: We consider Dirichlet boundary value problem where the elliptic equation is driven by a ( p, q )-Laplacian with weights and that contains a convection term (i.e., it depends on the solution and its gradient). The notion of ( p, q )-Laplacian with weights is considered for the first time. We present an existence result whose proof is based on the theory of pseudomonotone operators. An example illustrates its applicability.