Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Summary: This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem. Applying an abstract minimax theorem, we obtain a solution of the quasilinear system \(-\Delta_p u = F_{u}(x,u,v)\), \(-\Delta_q v = F_{v} (x,u,v)\), under conditions involving the first and the second eigenvalues.
scientific article; zbMATH DE number 1780530