Uniqueness results for the one-dimensional \(m\)-Laplacian considering superlinear nonlinearities

DOI10.1016/S0362-546X(03)00118-4zbMath1032.34021OpenAlexW2036912234MaRDI QIDQ1400268

Justino Sánchez, Pedro Ubilla

Publication date: 13 August 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(03)00118-4

zbMATH Keywords

\(m\)-LaplacianUniqueness resultsSuperlinear nonlinearityTime-mapping

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (6)

Exact multiplicity results for a class of two-point boundary value problems ⋮ Existence of positive solutions to semipositone singular Dirichlet boundary value problems ⋮ SUPERLINEAR ELLIPTIC PROBLEMS WITH SIGN CHANGING COEFFICIENTS ⋮ An identity for a quasilinear ODE and its applications to the uniqueness of solutions of BVPs ⋮ Uniqueness results for the one-dimensional \(p\)-Laplacian ⋮ Exact number of positive solutions for semipositone problems

Cites Work

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• Combined effects of concave and convex nonlinearities in some elliptic problems
• Multiplicity results for the 1-dimensional generalized \(p\)-Laplacian
• Multiplicity of solutions for a class of nonlinear second-order equations
• Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities

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