Numerical extremal solutions for a mixed problem with singular \({\phi}\)-Laplacian

DOI10.1007/S00030-013-0247-9zbMath1305.34037OpenAlexW2044556568MaRDI QIDQ464420

Călin Şerban, Constantin Popa, Petru Jebelean

Publication date: 17 October 2014

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-013-0247-9

zbMATH Keywords

lower and upper solutionsminimal and maximal solutionssingularshooting methodmonotone iterative method\({\phi}\)-LaplacianEuler's method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (3)

Nonspurious solutions of the Dirichlet problem for the prescribed mean curvature spacelike equation in a Friedmann-Lemaître-Robertson-Walker spacetime ⋮ Unnamed Item ⋮ Existence of positive periodic solutions of some nonlinear fractional differential equations

Cites Work

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• Numerical solutions to singular \(\phi\)-Laplacian with Dirichlet boundary conditions
• Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
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• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• H-surfaces in Lorentzian manifolds
• Optimal existence conditions for \(\varphi\)-Laplacian equations with upper and lower solutions in the reversed order
• Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
• Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces

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