Saiedinezhad, Somayeh2022-02-022022-02-022018-04-28Saiedinezhad, S. (2018). Existence of solutions to biharmonic equations with sign-changing coefficients. <i>Electronic Journal of Differential Equations, 2018</i>(99), pp. 1-9.1072-6691https://hdl.handle.net/10877/15266In this article, we study the existence of solutions for the semi-linear elliptic equation ∆2u - α(x)∆u = b(x)|u|p-2u with Navier boundary condition u = ∆u = 0 on ∂Ω, where Ω is a bounded domain with smooth boundary and 2 < p < 2*. We consider two different assumptions on the potentials α and b, including the case of sign-changing weights. The approach is based on the Nehari manifold with variational arguments about the corresponding fibering map, which ensures the multiple results.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalBi-Laplacian operatorWeak solutionNehari manifoldFibering mapArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.