A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator
Xinguang Zhang, Lishan Liu, Yonghong Wu, Yujun Cui
Abstract
In this paper, we establish the results of nonexistence and existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator. Under some suitable growth conditions for nonlinearity, the result of nonexistence of blow-up solutions is established, a sufficient and necessary condition on existence of blow-up solutions is given, and some further results are obtained.
Topics & Concepts
Hessian matrixHessian equationMathematicsOperator (biology)Nonlinear systemMathematical analysisApplied mathematicsPhysicsPartial differential equationChemistryFirst-order partial differential equationQuantum mechanicsGeneRepressorBiochemistryTranscription factorNonlinear Partial Differential EquationsAdvanced Mathematical Physics ProblemsNonlinear Differential Equations Analysis