One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime.
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| Title: | One-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. |
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| Authors: | Meiyu Liu1, Minghe Pei1 peiminghe@163.com, Libo Wang1 |
| Source: | Mathematical Modelling & Analysis. 2025, Vol. 30 Issue 4, p583-603. 21p. |
| Subjects: | Rotational symmetry, Minkowski space, Boundary value problems, Uniqueness (Mathematics), Fixed point theory, Curvature measurements |
| Abstract: | We investigate the existence, uniqueness and multiplicity of one-signed rotationally symmetric solutions of singular Dirichlet problems with the prescribed higher mean curvature operator in Minkowski spacetime. The main tools are the Schauder fixed point theorem along with cut-off technique and the Leggett-Williams fixed point theorem. In addition, we give some practical models to illustrate the effectiveness of our results. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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