Multiplicity of Nodal Solutions for a Class of Double-Phase Problems
We consider the following parametric double-phase problem: −div∇up−2∇u+ax∇uq−2∇u=λfx,u in Ω,u=0,on ∂Ω.. We do not impose any global growth conditions to the nonlinearity fx,u, which refer solely to its behavior in a neighborhood of u=0. And we will show that they suffice for the multiplicity of sign...
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| Format: | Article |
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Hindawi Limited
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/3805803 |
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doaj-4040687526f6417a8480af81a740b5342020-11-25T02:26:59ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/38058033805803Multiplicity of Nodal Solutions for a Class of Double-Phase ProblemsJie Yang0Haibo Chen1Senli Liu2School of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410083, ChinaWe consider the following parametric double-phase problem: −div∇up−2∇u+ax∇uq−2∇u=λfx,u in Ω,u=0,on ∂Ω.. We do not impose any global growth conditions to the nonlinearity fx,u, which refer solely to its behavior in a neighborhood of u=0. And we will show that they suffice for the multiplicity of signed and nodal solutions of the double-phase problem above when λ is large enough.http://dx.doi.org/10.1155/2020/3805803 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jie Yang Haibo Chen Senli Liu |
| spellingShingle |
Jie Yang Haibo Chen Senli Liu Multiplicity of Nodal Solutions for a Class of Double-Phase Problems Journal of Function Spaces |
| author_facet |
Jie Yang Haibo Chen Senli Liu |
| author_sort |
Jie Yang |
| title |
Multiplicity of Nodal Solutions for a Class of Double-Phase Problems |
| title_short |
Multiplicity of Nodal Solutions for a Class of Double-Phase Problems |
| title_full |
Multiplicity of Nodal Solutions for a Class of Double-Phase Problems |
| title_fullStr |
Multiplicity of Nodal Solutions for a Class of Double-Phase Problems |
| title_full_unstemmed |
Multiplicity of Nodal Solutions for a Class of Double-Phase Problems |
| title_sort |
multiplicity of nodal solutions for a class of double-phase problems |
| publisher |
Hindawi Limited |
| series |
Journal of Function Spaces |
| issn |
2314-8896 2314-8888 |
| publishDate |
2020-01-01 |
| description |
We consider the following parametric double-phase problem: −div∇up−2∇u+ax∇uq−2∇u=λfx,u in Ω,u=0,on ∂Ω.. We do not impose any global growth conditions to the nonlinearity fx,u, which refer solely to its behavior in a neighborhood of u=0. And we will show that they suffice for the multiplicity of signed and nodal solutions of the double-phase problem above when λ is large enough. |
| url |
http://dx.doi.org/10.1155/2020/3805803 |
| work_keys_str_mv |
AT jieyang multiplicityofnodalsolutionsforaclassofdoublephaseproblems AT haibochen multiplicityofnodalsolutionsforaclassofdoublephaseproblems AT senliliu multiplicityofnodalsolutionsforaclassofdoublephaseproblems |
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1715483748141629440 |