Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent

This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent. As a particular case, we study the following degenerate Kirchhoff-type nonlocal problem:

Bibliographic Details
Main Authors: Xiang Mingqi, Zhang Binlin, Rădulescu Vicenţiu D.
Format: Article
Language:English
Published: De Gruyter 2019-08-01
Series:Advances in Nonlinear Analysis
Subjects:
schrödinger–kirchhoff problem
fractional p–laplacian
multiple solutions
critical exponent
principle of concentration compactness
35r11
35a15
47g20
Online Access:https://doi.org/10.1515/anona-2020-0021
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spelling doaj-4472e16d746a4643a926eead5e24ed342021-09-06T19:39:56ZengDe GruyterAdvances in Nonlinear Analysis2191-950X2019-08-019169070910.1515/anona-2020-0021anona-2020-0021Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponentXiang Mingqi0Zhang Binlin1Rădulescu Vicenţiu D.2College of Science, Civil Aviation University of China, Tianjin, 300300, P.R. ChinaCollege of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, 266590, P.R. ChinaFaculty of Applied Mathematics, AGH University of Science and Technology, 30-059 Kraków, Poland and Department of Mathematics, University of Craiova, Street A.I. Cuza No. 13, 200585Craiova, RomaniaThis paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent. As a particular case, we study the following degenerate Kirchhoff-type nonlocal problem:https://doi.org/10.1515/anona-2020-0021schrödinger–kirchhoff problemfractional p–laplacianmultiple solutionscritical exponentprinciple of concentration compactness35r1135a1547g20
collection DOAJ
language English
format Article
sources DOAJ
author Xiang Mingqi
Zhang Binlin
Rădulescu Vicenţiu D.
spellingShingle Xiang Mingqi
Zhang Binlin
Rădulescu Vicenţiu D.
Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
Advances in Nonlinear Analysis
schrödinger–kirchhoff problem
fractional p–laplacian
multiple solutions
critical exponent
principle of concentration compactness
35r11
35a15
47g20
author_facet Xiang Mingqi
Zhang Binlin
Rădulescu Vicenţiu D.
author_sort Xiang Mingqi
title Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
title_short Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
title_full Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
title_fullStr Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
title_full_unstemmed Superlinear Schrödinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent
title_sort superlinear schrödinger–kirchhoff type problems involving the fractional p–laplacian and critical exponent
publisher De Gruyter
series Advances in Nonlinear Analysis
issn 2191-950X
publishDate 2019-08-01
description This paper concerns the existence and multiplicity of solutions for the Schrődinger–Kirchhoff type problems involving the fractional p–Laplacian and critical exponent. As a particular case, we study the following degenerate Kirchhoff-type nonlocal problem:
topic schrödinger–kirchhoff problem
fractional p–laplacian
multiple solutions
critical exponent
principle of concentration compactness
35r11
35a15
47g20
url https://doi.org/10.1515/anona-2020-0021
work_keys_str_mv AT xiangmingqi superlinearschrodingerkirchhofftypeproblemsinvolvingthefractionalplaplacianandcriticalexponent
AT zhangbinlin superlinearschrodingerkirchhofftypeproblemsinvolvingthefractionalplaplacianandcriticalexponent
AT radulescuvicentiud superlinearschrodingerkirchhofftypeproblemsinvolvingthefractionalplaplacianandcriticalexponent
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