On a class of fractional p(x) -Kirchhoff type problems

This paper is concerned with a class of fractional -Kirchhoff type problems with Dirichlet boundary data of the following form By means of mountain pass theorem of Ambrosetti and Rabinowitz, direct variational approach and Ekeland's variational principle, we investigate the existence of nontriv...

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Bibliographic Details
Published inApplicable analysis Vol. 100; no. 2; pp. 383 - 402
Main Authors Azroul, E., Benkirane, A., Shimi, M., Srati, M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 25.01.2021
Taylor & Francis Ltd
Subjects
A. Pankov
direct variatinal method
Dirichlet problem
Eigenvalues
Ekeland's variational principle
fractional
Kirchhoff type problems
Laplacian operator
montain pass theorem
Mountains
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ISSN0003-6811
1563-504X
DOI10.1080/00036811.2019.1603372

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Summary:This paper is concerned with a class of fractional -Kirchhoff type problems with Dirichlet boundary data of the following form By means of mountain pass theorem of Ambrosetti and Rabinowitz, direct variational approach and Ekeland's variational principle, we investigate the existence of nontrivial weak solutions for the above problem in different cases of the competition between the growth rates of functions p and r involved in problem , this fact is essential in describing the set of eigenvalues of this problem.
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ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2019.1603372