Existence of solutions for a system of elliptic partial differential equations

In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.

Bibliographic Details
Main Author: Robert Dalmasso
Format: Article
Language:English
Published: Texas State University 2011-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/57/abstr.html
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author Robert Dalmasso
author_facet Robert Dalmasso
author_sort Robert Dalmasso
collection DOAJ
description In this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.
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spelling doaj.art-68154a13ad5843948d51c6c44feff4352022-12-22T01:18:31ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-05-01201157,118Existence of solutions for a system of elliptic partial differential equationsRobert DalmassoIn this article, we establish the existence of radial solutions for a system of nonlinear elliptic partial differential equations with Dirichlet boundary conditions. Also we discuss the question of uniqueness, and illustrate our results with examples.http://ejde.math.txstate.edu/Volumes/2011/57/abstr.htmlNonlinear systemsshooting methodpositive radial solutions
spellingShingle Robert Dalmasso
Existence of solutions for a system of elliptic partial differential equations
Electronic Journal of Differential Equations
Nonlinear systems
shooting method
positive radial solutions
title Existence of solutions for a system of elliptic partial differential equations
title_full Existence of solutions for a system of elliptic partial differential equations
title_fullStr Existence of solutions for a system of elliptic partial differential equations
title_full_unstemmed Existence of solutions for a system of elliptic partial differential equations
title_short Existence of solutions for a system of elliptic partial differential equations
title_sort existence of solutions for a system of elliptic partial differential equations
topic Nonlinear systems
shooting method
positive radial solutions
url http://ejde.math.txstate.edu/Volumes/2011/57/abstr.html
work_keys_str_mv AT robertdalmasso existenceofsolutionsforasystemofellipticpartialdifferentialequations