Radial solutions for a <i>p</i> -Laplace equation involving nonlinearity terms
F. Safari, A. Razani
Abstract
Our main interest is to demonstrate the existence of at least one positive radial solution for the p-Laplacian problem {−div(|∇u|p−2∇u)+R(x)|u|p−2u=f(u)−g(u)x∈B,u>0x∈B,u=0x∈∂B, where B is the unit ball centred at the origin in Rn,n≥3 and p≥2, via the variational method.
Topics & Concepts
MathematicsUnit spherep-LaplacianLaplace operatorMathematical analysisNonlinear systemLaplace transformLaplace's equationCombinatoricsMathematical physicsPhysicsPartial differential equationQuantum mechanicsBoundary value problemNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNonlinear Differential Equations Analysis