A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence

Calogero Vetro; Francesca Vetro; Dumitru Motreanu

A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence

Calogero Vetro, Francesca Vetro, Dumitru Motreanu

Matematica e Informatica

Risultato della ricerca: Article › peer review

13 Citazioni (Scopus)

Abstract

The aim of this article is to study the Dirichlet boundary value problem for systems of equations involving the (pi, qi) -Laplacian operators and parameters μi≥0 (i = 1,2) in the principal part. Another main point is that the nonlinearities in the reaction terms are allowed to depend on both the solution and its gradient. We prove results ensuring existence, uniqueness, and asymptotic behavior with respect to the parameters.

Lingua originale	English
pagine (da-a)	1551-1561
Numero di pagine	11
Rivista	Numerical Functional Analysis and Optimization
Volume	37
Stato di pubblicazione	Published - 2016

All Science Journal Classification (ASJC) codes

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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title = "A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence",

abstract = "The aim of this article is to study the Dirichlet boundary value problem for systems of equations involving the (pi, qi) -Laplacian operators and parameters μi≥0 (i = 1,2) in the principal part. Another main point is that the nonlinearities in the reaction terms are allowed to depend on both the solution and its gradient. We prove results ensuring existence, uniqueness, and asymptotic behavior with respect to the parameters.",

author = "Calogero Vetro and Francesca Vetro and Dumitru Motreanu",

year = "2016",

language = "English",

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T1 - A Parametric Dirichlet Problem for Systems of Quasilinear Elliptic Equations With Gradient Dependence

AU - Vetro, Calogero

AU - Vetro, Francesca

AU - Motreanu, Dumitru

PY - 2016

Y1 - 2016

N2 - The aim of this article is to study the Dirichlet boundary value problem for systems of equations involving the (pi, qi) -Laplacian operators and parameters μi≥0 (i = 1,2) in the principal part. Another main point is that the nonlinearities in the reaction terms are allowed to depend on both the solution and its gradient. We prove results ensuring existence, uniqueness, and asymptotic behavior with respect to the parameters.

AB - The aim of this article is to study the Dirichlet boundary value problem for systems of equations involving the (pi, qi) -Laplacian operators and parameters μi≥0 (i = 1,2) in the principal part. Another main point is that the nonlinearities in the reaction terms are allowed to depend on both the solution and its gradient. We prove results ensuring existence, uniqueness, and asymptotic behavior with respect to the parameters.

UR - http://hdl.handle.net/10447/218926

UR - http://www.tandfonline.com/doi/full/10.1080/01630563.2016.1219866

M3 - Article

VL - 37

SP - 1551

EP - 1561

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

SN - 0163-0563

ER -