Multiplicity of Positive Solutions for Second Order Nonlinear Dirichlet Problem with One-dimension Minkowski-Curvature Operator

DOI10.1515/ans-2015-0403zbMath1344.34041OpenAlexW2507505782MaRDI QIDQ3463726

Yanqiong Lu, Ru Yun Ma

Publication date: 20 January 2016

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2015-0403

zbMATH Keywords

multiplicitypositive solutiontime mapsingular \(\phi\)-Laplacian

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (13)

Uniqueness and multiplicity of positive solutions for one-dimensional prescribed mean curvature equation in Minkowski space ⋮ Existence results for Dirichlet problems about two mean curvature equations in Euclidean and Minkowski spaces ⋮ Bifurcation diagrams of positive solutions for one-dimensional Minkowski-curvature problem and its applications ⋮ Componentwise localization of solutions to systems of operator inclusions via Harnack type inequalities ⋮ Discrete Neumann boundary value problem for a nonlinear equation with singular \(\phi\)-Laplacian ⋮ Unnamed Item ⋮ Multiple positive solutions of second-order nonlinear difference equations with discrete singular φ-Laplacian ⋮ A four-point boundary value problem with singular \(\phi \)-Laplacian ⋮ \(S\)-shaped connected component of radial positive solutions for a prescribed mean curvature problem in an annular domain ⋮ Global bifurcation and exact multiplicity of positive solutions for the one-dimensional Minkowski-curvature problem with sign-changing nonlinearity ⋮ Unnamed Item ⋮ Multiplicity of solutions for non-homogeneous Dirichlet problem with one-dimension Minkowski-curvature operator ⋮ Multiple radial solutions for Dirichlet problem involving two mean curvature equations in Euclidean and Minkowski spaces

Cites Work

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• ON THE GAUSSIAN CURVATURE OF MAXIMAL SURFACES AND THE CALABI–BERNSTEIN THEOREM
• On Positive Solutions of Semilinear Elliptic Equations
• On multiple positive solutions of nonlinear elliptic eigenvalue problems
• Existence results for superlinear semipositone BVP’s

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