| Autor: |
MirKeysaan Mahshid, Abdolrahman Razani |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Boundary Value Problems, Vol 2021, Iss 1, Pp 1-9 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
1687-2770 |
| DOI: |
10.1186/s13661-021-01557-y |
| Popis: |
Abstract Here, we consider the following elliptic problem with variable components: − a ( x ) Δ p ( x ) u − b ( x ) Δ q ( x ) u + u | u | s − 2 | x | s = λ f ( x , u ) , $$ -a(x)\Delta _{p(x)}u - b(x) \Delta _{q(x)}u+ \frac{u \vert u \vert ^{s-2}}{|x|^{s}}= \lambda f(x,u), $$ with Dirichlet boundary condition in a bounded domain in R N $\mathbb{R}^{N}$ with a smooth boundary. By applying the variational method, we prove the existence of at least one nontrivial weak solution to the problem. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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