Global existence and multiplicity of solutions for nonlinear singular eigenvalue problems
Nikolaos S. Papageorgiou, Jian Zhang, Wen Zhang
Abstract
We consider a singular eigenvalue problem driven by a nonlinear nonhomogeneous differential operator. The singular term is not decoupled from the rest of the reaction, as is the case in most singular elliptic problems. Using variational tools together with truncation and comparison techniques, we prove an existence and multiplicity theorem which is global in the parameter (a bifurcation-type result giving a complete description of the spectrum).
Topics & Concepts
Multiplicity (mathematics)Eigenvalues and eigenvectorsMathematicsNonlinear systemApplied mathematicsMathematical analysisPure mathematicsPhysicsQuantum mechanicsNonlinear Differential Equations AnalysisNonlinear Partial Differential EquationsStability and Controllability of Differential Equations