Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type
In this article, we establish the existence of weak solutions for a nonlinear transmission problem involving nonlocal coefficients of $p(x)$-Kirchhoff type in two different domains, which are connected by a nonlinear transmission condition at their interface. We get our results by means of the monot...
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University of Szeged
2016-11-01
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doaj-117b8cf1ef694ffcbf4805c65bca60d92021-07-14T07:21:29ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38751417-38752016-11-01201610511510.14232/ejqtde.2016.1.1054945Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff typeEugenio Cabanillas Lapa0Felix Leon Barboza1Juan Benito Bernui Barros2Benigno Godoy Torres3Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, PeruFacultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, PeruFacultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, PeruFacultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, PeruIn this article, we establish the existence of weak solutions for a nonlinear transmission problem involving nonlocal coefficients of $p(x)$-Kirchhoff type in two different domains, which are connected by a nonlinear transmission condition at their interface. We get our results by means of the monotone operator theory and the $(S_{+})$ mapping theory; the weak formulation takes place in suitable variable exponent Sobolev spaces.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4945nonlinear transmission problemp(x)-laplacianmonotone operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Eugenio Cabanillas Lapa Felix Leon Barboza Juan Benito Bernui Barros Benigno Godoy Torres |
spellingShingle |
Eugenio Cabanillas Lapa Felix Leon Barboza Juan Benito Bernui Barros Benigno Godoy Torres Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type Electronic Journal of Qualitative Theory of Differential Equations nonlinear transmission problem p(x)-laplacian monotone operator |
author_facet |
Eugenio Cabanillas Lapa Felix Leon Barboza Juan Benito Bernui Barros Benigno Godoy Torres |
author_sort |
Eugenio Cabanillas Lapa |
title |
Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type |
title_short |
Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type |
title_full |
Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type |
title_fullStr |
Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type |
title_full_unstemmed |
Existence results for a nonlinear elliptic transmission problem of $p(x)$-Kirchhoff type |
title_sort |
existence results for a nonlinear elliptic transmission problem of $p(x)$-kirchhoff type |
publisher |
University of Szeged |
series |
Electronic Journal of Qualitative Theory of Differential Equations |
issn |
1417-3875 1417-3875 |
publishDate |
2016-11-01 |
description |
In this article, we establish the existence of weak solutions for a nonlinear transmission problem involving nonlocal coefficients of $p(x)$-Kirchhoff type in two different domains, which are connected by a nonlinear transmission condition at their interface. We get our results by means of the monotone operator theory and the $(S_{+})$ mapping theory; the weak formulation takes place in suitable variable exponent Sobolev spaces. |
topic |
nonlinear transmission problem p(x)-laplacian monotone operator |
url |
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4945 |
work_keys_str_mv |
AT eugeniocabanillaslapa existenceresultsforanonlinearelliptictransmissionproblemofpxkirchhofftype AT felixleonbarboza existenceresultsforanonlinearelliptictransmissionproblemofpxkirchhofftype AT juanbenitobernuibarros existenceresultsforanonlinearelliptictransmissionproblemofpxkirchhofftype AT benignogodoytorres existenceresultsforanonlinearelliptictransmissionproblemofpxkirchhofftype |
_version_ |
1721303556853596160 |