Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem
This paper is devoted to the following p-Kirchhoff type of problems −a+b∫Ω∇updxΔpu=fx,u,x∈Ωu=0,x∈∂Ω with the Dirichlet boundary value. We show that the p-Kirchhoff type of problems has at least a nontrivial weak solution. The main tools are variational method, critical point theory, and mountain-pas...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2020/4292309 |
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| author | Xian Hu Yong-Yi Lan |
| author_facet | Xian Hu Yong-Yi Lan |
| author_sort | Xian Hu |
| collection | DOAJ |
| description | This paper is devoted to the following p-Kirchhoff type of problems −a+b∫Ω∇updxΔpu=fx,u,x∈Ωu=0,x∈∂Ω with the Dirichlet boundary value. We show that the p-Kirchhoff type of problems has at least a nontrivial weak solution. The main tools are variational method, critical point theory, and mountain-pass theorem. |
| format | Article |
| id | doaj-art-eedeb3edf87a42ee92f92b2f7cf1ecc5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-eedeb3edf87a42ee92f92b2f7cf1ecc52025-02-03T06:43:51ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/42923094292309Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet ProblemXian Hu0Yong-Yi Lan1School of Science, Jimei University, Xiamen 361021, ChinaSchool of Science, Jimei University, Xiamen 361021, ChinaThis paper is devoted to the following p-Kirchhoff type of problems −a+b∫Ω∇updxΔpu=fx,u,x∈Ωu=0,x∈∂Ω with the Dirichlet boundary value. We show that the p-Kirchhoff type of problems has at least a nontrivial weak solution. The main tools are variational method, critical point theory, and mountain-pass theorem.http://dx.doi.org/10.1155/2020/4292309 |
| spellingShingle | Xian Hu Yong-Yi Lan Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem Discrete Dynamics in Nature and Society |
| title | Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem |
| title_full | Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem |
| title_fullStr | Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem |
| title_full_unstemmed | Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem |
| title_short | Nontrivial Solutions for a Class of p-Kirchhoff Dirichlet Problem |
| title_sort | nontrivial solutions for a class of p kirchhoff dirichlet problem |
| url | http://dx.doi.org/10.1155/2020/4292309 |
| work_keys_str_mv | AT xianhu nontrivialsolutionsforaclassofpkirchhoffdirichletproblem AT yongyilan nontrivialsolutionsforaclassofpkirchhoffdirichletproblem |