On some elliptic interface problems with nonhomogeneous jump conditions

We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension...

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Main Authors:	Bhaskar T. Gnana, Perera Kanishka
Format:	Article
Language:	English
Published:	De Gruyter 2013-05-01
Series:	Advances in Nonlinear Analysis
Subjects:	elliptic interface problems nonhomogeneous jump conditions nontrivial solutions morse theory critical groups nonlinear eigenvalue problems yang index anisotropic problems concentration compactness
Online Access:	https://doi.org/10.1515/anona-2013-0005

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spelling	doaj-dfc00c75fd0340da998d644b30fa959c2021-09-06T19:39:53ZengDe GruyterAdvances in Nonlinear Analysis2191-94962191-950X2013-05-012219521110.1515/anona-2013-0005On some elliptic interface problems with nonhomogeneous jump conditionsBhaskar T. Gnana0Perera Kanishka1Department of Mathematical Sciences Florida Institute of Technology Melbourne, FL 32901, USADepartment of Mathematical Sciences Florida Institute of Technology Melbourne, FL 32901, USAWe obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension to the whole space is proved using concentration compactness arguments.https://doi.org/10.1515/anona-2013-0005elliptic interface problemsnonhomogeneous jump conditionsnontrivial solutionsmorse theorycritical groupsnonlinear eigenvalue problemsyang indexanisotropic problemsconcentration compactness
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bhaskar T. Gnana Perera Kanishka
spellingShingle	Bhaskar T. Gnana Perera Kanishka On some elliptic interface problems with nonhomogeneous jump conditions Advances in Nonlinear Analysis elliptic interface problems nonhomogeneous jump conditions nontrivial solutions morse theory critical groups nonlinear eigenvalue problems yang index anisotropic problems concentration compactness
author_facet	Bhaskar T. Gnana Perera Kanishka
author_sort	Bhaskar T. Gnana
title	On some elliptic interface problems with nonhomogeneous jump conditions
title_short	On some elliptic interface problems with nonhomogeneous jump conditions
title_full	On some elliptic interface problems with nonhomogeneous jump conditions
title_fullStr	On some elliptic interface problems with nonhomogeneous jump conditions
title_full_unstemmed	On some elliptic interface problems with nonhomogeneous jump conditions
title_sort	on some elliptic interface problems with nonhomogeneous jump conditions
publisher	De Gruyter
series	Advances in Nonlinear Analysis
issn	2191-9496 2191-950X
publishDate	2013-05-01
description	We obtain nontrivial solutions of some elliptic interface problems with nonhomogeneous jump conditions that arise in localized chemical reactions and nonlinear neutral inclusions. Our proofs in bounded domains use Morse theoretical arguments, in particular, critical group computations. An extension to the whole space is proved using concentration compactness arguments.
topic	elliptic interface problems nonhomogeneous jump conditions nontrivial solutions morse theory critical groups nonlinear eigenvalue problems yang index anisotropic problems concentration compactness
url	https://doi.org/10.1515/anona-2013-0005
work_keys_str_mv	AT bhaskartgnana onsomeellipticinterfaceproblemswithnonhomogeneousjumpconditions AT pererakanishka onsomeellipticinterfaceproblemswithnonhomogeneousjumpconditions
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On some elliptic interface problems with nonhomogeneous jump conditions

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