Multiple nonsemitrivial solutions for a class of degenerate quasilinear elliptic systems
The existence of multiple nonsemitrivial solutions for a degenerate quasilinear system depending on a parameter \(\lambda\) is proved. The variational approach is applied, based on the notion of Nehari manifolds, and a result for an eigenvalue problem proved by the third author. The main result is Theorem 3.5 on the existence of nonnegative nonsemitrivial solutions for \(\lambda\) in an specified interval. The proof is technical and original.
scientific article; zbMATH DE number 6712483
scientific article