Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems
We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of infinitely many arbitrarily small solutions convergin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2019-04-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7091 |
| _version_ | 1797830503191019520 |
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| author | Vincenzo Ambrosio Alessio Fiscella Teresa Isernia |
| author_facet | Vincenzo Ambrosio Alessio Fiscella Teresa Isernia |
| author_sort | Vincenzo Ambrosio |
| collection | DOAJ |
| description | We investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of infinitely many arbitrarily small solutions converging to zero. |
| first_indexed | 2024-04-09T13:37:10Z |
| format | Article |
| id | doaj.art-4a3518801ac94a78bb618b533d2c4865 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:37:10Z |
| publishDate | 2019-04-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-4a3518801ac94a78bb618b533d2c48652023-05-09T07:53:09ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752019-04-0120192511310.14232/ejqtde.2019.1.257091Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problemsVincenzo Ambrosio0Alessio Fiscella1Teresa Isernia2Dipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Ancona, ItalyUniversidade Estadual de Campinas, Campinas, BrazilDipartimento di Ingegneria Industriale e Scienze Matematiche, Università Politecnica delle Marche, Ancona, ItalyWe investigate a class of critical stationary Kirchhoff fractional $p$-Laplacian problems in presence of a Hardy potential. By using a suitable version of the symmetric mountain-pass lemma due to Kajikiya, we obtain the existence of a sequence of infinitely many arbitrarily small solutions converging to zero.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7091fractional $p$-laplaciankirchhoff coefficienthardy potentialscritical sobolev exponentvariational methods |
| spellingShingle | Vincenzo Ambrosio Alessio Fiscella Teresa Isernia Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems Electronic Journal of Qualitative Theory of Differential Equations fractional $p$-laplacian kirchhoff coefficient hardy potentials critical sobolev exponent variational methods |
| title | Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems |
| title_full | Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems |
| title_fullStr | Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems |
| title_full_unstemmed | Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems |
| title_short | Infinitely many solutions for fractional Kirchhoff–Sobolev–Hardy critical problems |
| title_sort | infinitely many solutions for fractional kirchhoff sobolev hardy critical problems |
| topic | fractional $p$-laplacian kirchhoff coefficient hardy potentials critical sobolev exponent variational methods |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=7091 |
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