Resonant double phase equations
Νικόλαος Παπαγεωργίου, Vicenţiu D. Rădulescu, Youpei Zhang
Abstract
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.
Topics & Concepts
Eigenvalues and eigenvectorsBounded functionMathematicsMorse codePhase (matter)Dirichlet distributionMathematical analysisDirichlet problemApplied mathematicsPure mathematicsPhysicsQuantum mechanicsComputer scienceBoundary value problemTelecommunicationsAdvanced Mathematical Modeling in EngineeringNonlinear Partial Differential EquationsNumerical methods in inverse problems