$Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations$
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Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such as

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Autor principal:	Han Qi
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	sobolev-slobodeckij spaces compact embedding fractional laplacian positive solutions primary 46e35 35r11 secondary 35j20 35p05 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/4ee27292d5674923b7d67e590286f45d
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id	oai:doaj.org-article:4ee27292d5674923b7d67e590286f45d
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spelling	oai:doaj.org-article:4ee27292d5674923b7d67e590286f45d2021-12-05T14:10:40ZCompact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations2191-94962191-950X10.1515/anona-2020-0133https://doaj.org/article/4ee27292d5674923b7d67e590286f45d2021-09-01T00:00:00Zhttps://doi.org/10.1515/anona-2020-0133https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XIn this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such asHan QiDe Gruyterarticlesobolev-slobodeckij spacescompact embeddingfractional laplacianpositive solutionsprimary 46e3535r11secondary 35j2035p05AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 432-453 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	sobolev-slobodeckij spaces compact embedding fractional laplacian positive solutions primary 46e35 35r11 secondary 35j20 35p05 Analysis QA299.6-433
spellingShingle	sobolev-slobodeckij spaces compact embedding fractional laplacian positive solutions primary 46e35 35r11 secondary 35j20 35p05 Analysis QA299.6-433 Han Qi Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
description	In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such as
format	article
author	Han Qi
author_facet	Han Qi
author_sort	Han Qi
title	Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
title_short	Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
title_full	Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
title_fullStr	Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
title_full_unstemmed	Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations
title_sort	compact sobolev-slobodeckij embeddings and positive solutions to fractional laplacian equations
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/4ee27292d5674923b7d67e590286f45d
work_keys_str_mv	AT hanqi compactsobolevslobodeckijembeddingsandpositivesolutionstofractionallaplacianequations
_version_	1718371839406768128

Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

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