A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems

A new result of solvability for a wide class of systems of variational equations depending on parameters and governed by nonmonotone operators is found in a Banach real and reflexive space with applications to Dirichlet and Neumann problems related to nonlinear elliptic systems.

Saved in:
Bibliographic Details
Main Authors: Luisa Toscano, Speranza Toscano
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2016/1683759
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832564316512976896
author Luisa Toscano
Speranza Toscano
author_facet Luisa Toscano
Speranza Toscano
author_sort Luisa Toscano
collection DOAJ
description A new result of solvability for a wide class of systems of variational equations depending on parameters and governed by nonmonotone operators is found in a Banach real and reflexive space with applications to Dirichlet and Neumann problems related to nonlinear elliptic systems.
format Article
id doaj-art-27ccccdb641d43dd885c223cff0cc572
institution Kabale University
issn 1687-9643
1687-9651
language English
publishDate 2016-01-01
publisher Wiley
record_format Article
series International Journal of Differential Equations
spelling doaj-art-27ccccdb641d43dd885c223cff0cc5722025-02-03T01:11:20ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/16837591683759A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear ProblemsLuisa Toscano0Speranza Toscano1Department of Mathematics and Applications “R. Caccioppoli”, University of Naples “Federico II”, Via Cintia, Monte S. Angelo, I-80126 Naples, ItalyUniversity of Naples, Via Roma 29, 81031 Aversa, ItalyA new result of solvability for a wide class of systems of variational equations depending on parameters and governed by nonmonotone operators is found in a Banach real and reflexive space with applications to Dirichlet and Neumann problems related to nonlinear elliptic systems.http://dx.doi.org/10.1155/2016/1683759
spellingShingle Luisa Toscano
Speranza Toscano
A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
International Journal of Differential Equations
title A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
title_full A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
title_fullStr A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
title_full_unstemmed A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
title_short A New Result Concerning the Solvability of a Class of General Systems of Variational Equations with Nonmonotone Operators: Applications to Dirichlet and Neumann Nonlinear Problems
title_sort new result concerning the solvability of a class of general systems of variational equations with nonmonotone operators applications to dirichlet and neumann nonlinear problems
url http://dx.doi.org/10.1155/2016/1683759
work_keys_str_mv AT luisatoscano anewresultconcerningthesolvabilityofaclassofgeneralsystemsofvariationalequationswithnonmonotoneoperatorsapplicationstodirichletandneumannnonlinearproblems
AT speranzatoscano anewresultconcerningthesolvabilityofaclassofgeneralsystemsofvariationalequationswithnonmonotoneoperatorsapplicationstodirichletandneumannnonlinearproblems
AT luisatoscano newresultconcerningthesolvabilityofaclassofgeneralsystemsofvariationalequationswithnonmonotoneoperatorsapplicationstodirichletandneumannnonlinearproblems
AT speranzatoscano newresultconcerningthesolvabilityofaclassofgeneralsystemsofvariationalequationswithnonmonotoneoperatorsapplicationstodirichletandneumannnonlinearproblems