The multiplicity of nontrivial solutions for a new \(p(x)\)-Kirchhoff-type elliptic problem
Summary: In the paper, we study the existence of weak solutions for a class of new nonlocal problems involving a \(p(x)\)-Laplacian operator. By using Ekeland's variational principle and mountain pass theorem, we prove that the new \(p(x)\)-Kirchhoff problem has at least two nontrivial weak solutions.
scientific article; zbMATH DE number 7388489
scientific article