Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents
In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2022-03-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/26575 |
| _version_ | 1818355133298245632 |
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| author | Sihua Liang Giovanni Molica Bisci Binlin Zhang |
| author_facet | Sihua Liang Giovanni Molica Bisci Binlin Zhang |
| author_sort | Sihua Liang |
| collection | DOAJ |
| description |
In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of that of any ground state solution.
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| first_indexed | 2024-12-13T19:36:28Z |
| format | Article |
| id | doaj.art-a5cef3c64423482a87645993dc18a0b7 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T19:36:28Z |
| publishDate | 2022-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-a5cef3c64423482a87645993dc18a0b72022-12-21T23:33:47ZengVilnius University PressNonlinear Analysis1392-51132335-89632022-03-012710.15388/namc.2022.27.26575Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponentsSihua Liang0Giovanni Molica Bisci1Binlin Zhang2Changchun Normal UniversityUniversità degli Studi di Urbino Carlo BoShandong University of Science and Technology In this paper, we are concerned with the Kirchhoff-type variable-order fractional Laplacian problem with critical variable exponent. By using constraint variational method and quantitative deformation lemma we show the existence of one least energy solution, which is strictly larger than twice of that of any ground state solution. https://www.journals.vu.lt/nonlinear-analysis/article/view/26575Kirchhoff-type problemvariable-order fractional Laplacianvariational methodsign-changing solution |
| spellingShingle | Sihua Liang Giovanni Molica Bisci Binlin Zhang Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents Nonlinear Analysis Kirchhoff-type problem variable-order fractional Laplacian variational method sign-changing solution |
| title | Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents |
| title_full | Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents |
| title_fullStr | Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents |
| title_full_unstemmed | Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents |
| title_short | Sign-changing solutions for Kirchhoff-type problems involving variable-order fractional Laplacian and critical exponents |
| title_sort | sign changing solutions for kirchhoff type problems involving variable order fractional laplacian and critical exponents |
| topic | Kirchhoff-type problem variable-order fractional Laplacian variational method sign-changing solution |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/26575 |
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