Resonant double phase equations
Νικόλαος Παπαγεωργίου, Vicenţiu D. Rădulescu, Youpei Zhang · Nonlinear Analysis Real World Applications · 2021
We consider a double phase Dirichlet equation with a reaction which is asymptotically as x→±∞, resonant with respect to the first eigenvalue of a related eigenvalue problem. Using variational tools together with Morse theoretic arguments, we prove the existence of at least two bounded nontrivial solutions for the problem.