A weak solution for a ( p ( x ) , q ( x ) ) $(p(x),q(x))$ -Laplacian elliptic problem with a singular term

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...

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Bibliographic Details
Main Authors: MirKeysaan Mahshid, Abdolrahman Razani
Format: Article
Language:English
Published: SpringerOpen 2021-09-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01557-y