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Branches of positive and free boundary solutions for some singular quasilinear elliptic problems
Authors:J.I. Dí  az,F.J. Mancebo
Affiliation:a Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain
b Departamento de Matemáticas, Universidad Autónoma de Madrid, 28049 Madrid, Spain
c ETSI Aeronáuticos, Universidad Politécnica de Madrid, 28040 Madrid, Spain
Abstract:We study the existence and multiplicity of solutions, strictly positive or nonnegative having a free boundary (the boundary of the set where the solution vanishes) of some one-dimensional quasilinear problems of eigenvalue type with possibly singular nonlinear terms.
Keywords:Elliptic partial differential equations   Quasilinear equations   Singular problems   Free boundaries
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