Sign-changing solutions for \(p\)-biharmonic equations with Hardy potential
The paper under review is concerned with the existence of nodal solutions for a class of \(p\)-biharmonic equations with Hardy potential and Dirichlet boundary condition. By means of variational arguments, the authors establish the existence of a sign-changing solution for small positive values of the parameter. The proof is essentially based on the method of invariant sets of descending flows. One of the key points is to construct a vector field that keeps the positive and negative cones invariant.
scientific article; zbMATH DE number 6420047