Boletim da Sociedade Paranaense de Matemática (May 2024)
On a p(x)-biharmonic singular problem with changing sign weight and with no-flux boundary condition
Abstract
In the present paper, we study $p(x)-$biharmonic problem involving $q(x)-$Hardy type potential with no-flux boundary condition. By using the mountain pass type theorem and Ekeland variatoinal principle, we obtain at least two nontrivial weak solutions.