Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents

The existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations −Δu+V1xu=Iα∗uN+α/Nuα/N−1u+λv,x∈ℝN,−Δv+V2xv=Iα∗vN+α/Nvα/N−1v+λu,x∈ℝN,u,v∈H1ℝN, are proved, where α∈0,N, N≥3, V1xV2x∈L∞ℝN are positive functions, and Iα denotes the Riesz potential....

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Main Author:	Huiling Wu
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Advances in Mathematical Physics
Online Access:	http://dx.doi.org/10.1155/2020/6623902

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spelling	doaj-8e2a60fd809240aba197a215835e2c6e2021-07-02T15:59:34ZengHindawi LimitedAdvances in Mathematical Physics1687-91392020-01-01202010.1155/2020/6623902Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical ExponentsHuiling Wu0College of Mathematics and Data ScienceThe existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations −Δu+V1xu=Iα∗uN+α/Nuα/N−1u+λv,x∈ℝN,−Δv+V2xv=Iα∗vN+α/Nvα/N−1v+λu,x∈ℝN,u,v∈H1ℝN, are proved, where α∈0,N, N≥3, V1xV2x∈L∞ℝN are positive functions, and Iα denotes the Riesz potential.http://dx.doi.org/10.1155/2020/6623902
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Huiling Wu
spellingShingle	Huiling Wu Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents Advances in Mathematical Physics
author_facet	Huiling Wu
author_sort	Huiling Wu
title	Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
title_short	Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
title_full	Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
title_fullStr	Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
title_full_unstemmed	Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents
title_sort	vector solutions for linearly coupled choquard type equations with lower critical exponents
publisher	Hindawi Limited
series	Advances in Mathematical Physics
issn	1687-9139
publishDate	2020-01-01
description	The existence, nonexistence, and multiplicity of vector solutions of the linearly coupled Choquard type equations −Δu+V1xu=Iα∗uN+α/Nuα/N−1u+λv,x∈ℝN,−Δv+V2xv=Iα∗vN+α/Nvα/N−1v+λu,x∈ℝN,u,v∈H1ℝN, are proved, where α∈0,N, N≥3, V1xV2x∈L∞ℝN are positive functions, and Iα denotes the Riesz potential.
url	http://dx.doi.org/10.1155/2020/6623902
work_keys_str_mv	AT huilingwu vectorsolutionsforlinearlycoupledchoquardtypeequationswithlowercriticalexponents
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Vector Solutions for Linearly Coupled Choquard Type Equations with Lower Critical Exponents

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