Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations
This paper deals with the existence and multiplicity of non-negative generalized solutions for a class of second-order Kirchhoff-type problems. It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the var...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-07-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_712998_a8a15ae6a524ed9b09fbf040825a867f.pdf |
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| _version_ | 1823859361374535680 |
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| author | Mohammad Reza Heidari Tavani |
| author_facet | Mohammad Reza Heidari Tavani |
| author_sort | Mohammad Reza Heidari Tavani |
| collection | DOAJ |
| description | This paper deals with the existence and multiplicity of non-negative generalized solutions for a class of second-order Kirchhoff-type problems. It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory. |
| format | Article |
| id | doaj-art-db01b9281ce34044ac198837c176dc05 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-db01b9281ce34044ac198837c176dc052025-02-11T05:27:31ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-07-0121344145910.22130/scma.2023.2006072.1369712998Existence and Multiplicity Results for a Class of Kirchhoff-Type EquationsMohammad Reza Heidari Tavani0Department of Mathematics, Ramhormoz Branch, Islamic Azad University, Ramhormoz, Iran.This paper deals with the existence and multiplicity of non-negative generalized solutions for a class of second-order Kirchhoff-type problems. It is important to mention that no asymptotic condition is required in the nonlinear term either at zero or at infinity. Our approach is based on the variational methods and critical point theory.https://scma.maragheh.ac.ir/article_712998_a8a15ae6a524ed9b09fbf040825a867f.pdfgeneralized solutionsecond-order kirchhoff-type equationcritical point theoryvariational methods |
| spellingShingle | Mohammad Reza Heidari Tavani Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations Sahand Communications in Mathematical Analysis generalized solution second-order kirchhoff-type equation critical point theory variational methods |
| title | Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations |
| title_full | Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations |
| title_fullStr | Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations |
| title_full_unstemmed | Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations |
| title_short | Existence and Multiplicity Results for a Class of Kirchhoff-Type Equations |
| title_sort | existence and multiplicity results for a class of kirchhoff type equations |
| topic | generalized solution second-order kirchhoff-type equation critical point theory variational methods |
| url | https://scma.maragheh.ac.ir/article_712998_a8a15ae6a524ed9b09fbf040825a867f.pdf |
| work_keys_str_mv | AT mohammadrezaheidaritavani existenceandmultiplicityresultsforaclassofkirchhofftypeequations |