On a Singular Robin Problem with Convection Terms
Umberto Guarnotta, S. Marano, Dumitru Motreanu
Abstract
In this paper, the existence of smooth positive solutions to a Robin boundary-value problem with non-homogeneous differential operator and reaction given by a nonlinear convection term plus a singular one is established. Proofs chiefly exploit sub-super-solution and truncation techniques, set-valued analysis, recursive methods, nonlinear regularity theory, as well as fixed point arguments. A uniqueness result is also presented.
Topics & Concepts
MathematicsUniquenessMathematical proofNonlinear systemTruncation (statistics)Boundary value problemTerm (time)Mathematical analysisOperator (biology)Singular solutionFixed-point theoremCover (algebra)Applied mathematicsGeometryMechanical engineeringEngineeringRepressorGenePhysicsTranscription factorStatisticsChemistryQuantum mechanicsBiochemistryAdvanced Mathematical Modeling in EngineeringStability and Controllability of Differential EquationsNonlinear Partial Differential Equations