2021 / December Volume 16 No.4
Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem
| Published Date |
2021 / December
|
|---|---|
| Title | Multiplicity of Solutions for Some $p(x)$-Biharmonic Problem |
| Author | |
| Keyword | |
| Download | |
| Pagination | 401-421 |
| Abstract | This paper deals with the study of some class of non-homogeneous problems involving
the $p(x)$-biharmonic operator. Using direct variational methods, the existence of nontrivial
solution is obtained. The multiplicity of solutions is obtained by combining Ekeland’s
variational principle with the Mountain pass theorem. Finally, the Fountain theorem is
applied to prove the existence of infinetely many solutions for the given problem.
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| DOI | |
| AMS Subject Classification |
31B30, 35J35
|
| Received |
2021-12-09
|
| Accepted |
2021-12-21
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