Positive solutions for Dirichlet problems involving the mean curvature operator in Minkowski space

DOI10.1007/s00605-017-1133-zzbMath1411.34038OpenAlexW2767055796MaRDI QIDQ667811

Ru Yun Ma

Publication date: 1 March 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-017-1133-z

zbMATH Keywords

existenceMinkowski spaceLeray-Schauder fixed point theoremmean curvature operatorpositive radial solutionquasilinear differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Differential inequalities involving functions of a single real variable (34A40) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

Multiplicity of positive radial solutions for systems with mean curvature operator in Minkowski space ⋮ Radial convex solutions of a singular Dirichlet problem with the mean curvature operator in Minkowski space ⋮ Global bifurcation diagrams for Liouville-Bratu-Gelfand problem with Minkowski-curvature operator ⋮ Multiplicity of positive radial solutions of singular Minkowski-curvature equations ⋮ Unnamed Item

Cites Work

• Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
• Radial solutions of Neumann problem for periodic perturbations of the mean extrinsic curvature operator
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• Positive solutions to a class of elliptic boundary value problems
• Positive solutions of quasilinear boundary value problems
• Spacelike graphs with prescribed mean curvature
• Positive solutions of the Dirichlet problem for the prescribed mean curvature equation 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
• Global structure of radial positive solutions for a prescribed mean curvature problem in a ball

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