Positive radial solutions of a mean curvature equation in Minkowski space with strong singularity

DOI10.1090/proc/13587zbMath1375.35231OpenAlexW2607421076MaRDI QIDQ5351801

Minghe Pei, Libo Wang

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13587

zbMATH Keywords

radial solutionsmean curvature equationnonlinear alternative of Leray-Schauder typestrongly singular Dirichlet problem

Mathematics Subject Classification ID

Analyticity in context of PDEs (35A20) Singular elliptic equations (35J75) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (8)

Existence and multiplicity of positive solutions of a one-dimensional mean curvature equation in Minkowski space ⋮ 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 ⋮ Existence of positive solutions for one dimensional Minkowski curvature problem with singularity ⋮ Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space ⋮ Positive radial solutions of a mean curvature equation in Lorentz–Minkowski space with strong singularity ⋮ Multiplicity of positive radial solutions of singular Minkowski-curvature equations ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball
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• Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
• Convexity of the solutions to the constant mean curvature spacelike surface equation in the Lorentz-Minkowski space
• 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
• Ground state solution for a problem with mean curvature operator in Minkowski space
• The Dirichlet Problem with Mean Curvature Operator in Minkowski Space – a Variational Approach
• Radial solutions for some nonlinear problems involving mean curvature operators in Euclidean and Minkowski spaces

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