The effects of concave and convex nonlinearities in some noncooperative elliptic systems
This paper concerns the semilinear elliptic systems with nonlinearities containing both concave and convex terms, and with the energy functionals being strongly indefinite. The authors derive theorems of existence of infinitely many critical values for strongly indefinite even functionals. Applying these theorems to the elliptic systems, the authors prove the existence of infinitely many large and small energy solutions.
scientific article; zbMATH DE number 6376691