A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition

We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations. Our results improve the abstract results about a semi-linear elliptic equation in Kajikiya [10] and Li-Liu [1...

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Autor principal:	Huang Chen
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	quasi-linear elliptic equations non-smooth clark’s theorem essential values 35j20 35j62 35b45 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/a893df12331348b4bd614d398d9dde6f
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spelling	oai:doaj.org-article:a893df12331348b4bd614d398d9dde6f2021-12-05T14:10:40ZA variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition2191-94962191-950X10.1515/anona-2020-0197https://doaj.org/article/a893df12331348b4bd614d398d9dde6f2021-07-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0197https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XWe give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations. Our results improve the abstract results about a semi-linear elliptic equation in Kajikiya [10] and Li-Liu [11].Huang ChenDe Gruyterarticlequasi-linear elliptic equationsnon-smooth clark’s theoremessential values35j2035j6235b45AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 285-303 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quasi-linear elliptic equations non-smooth clark’s theorem essential values 35j20 35j62 35b45 Analysis QA299.6-433
spellingShingle	quasi-linear elliptic equations non-smooth clark’s theorem essential values 35j20 35j62 35b45 Analysis QA299.6-433 Huang Chen A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
description	We give a new non-smooth Clark’s theorem without the global symmetric condition. The theorem can be applied to generalized quasi-linear elliptic equations with small continous perturbations. Our results improve the abstract results about a semi-linear elliptic equation in Kajikiya [10] and Li-Liu [11].
format	article
author	Huang Chen
author_facet	Huang Chen
author_sort	Huang Chen
title	A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
title_short	A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
title_full	A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
title_fullStr	A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
title_full_unstemmed	A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
title_sort	variant of clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/a893df12331348b4bd614d398d9dde6f
work_keys_str_mv	AT huangchen avariantofclarkstheoremanditsapplicationsfornonsmoothfunctionalswithouttheglobalsymmetriccondition AT huangchen variantofclarkstheoremanditsapplicationsfornonsmoothfunctionalswithouttheglobalsymmetriccondition
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A variant of Clark’s theorem and its applications for nonsmooth functionals without the global symmetric condition

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