Advances in Differential Equations
- Adv. Differential Equations
- Volume 7, Number 6 (2002), 667-694.
Existence of ground states and free-boundary problems for the prescribed mean-curvature equation
Existence and nonexistence of radially symmetric ground states and compact support solutions for a quasilinear equation involving the mean-curvature operator are studied in dependence of the parameters involved. Different tools are used in the proofs, according to the cases considered. Several numerical results are also given: the experiments show a possible lack of uniqueness of the solution and a strong dependence on the space dimension.
Adv. Differential Equations, Volume 7, Number 6 (2002), 667-694.
First available in Project Euclid: 27 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35R35: Free boundary problems
Secondary: 34A12: Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions 35J60: Nonlinear elliptic equations 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Conti, Monica; Gazzola, Filippo. Existence of ground states and free-boundary problems for the prescribed mean-curvature equation. Adv. Differential Equations 7 (2002), no. 6, 667--694. https://projecteuclid.org/euclid.ade/1356651733