Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space
By C. Bereanu, Petru Jebelean, Pedro J. Torres. 2013
144 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/8b8d3388bbf8eddaa207b5fbeffd13f46ace21fc
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Petru Jebelean
- Ruyun Ma
- Yanqiong Lu
- Hongliang Gao
- C. Bereanu
- Chiara Corsato
- Isabel Coelho
- J. R. L. Webb
In Computational Theory and Mathematics
- Petru Jebelean
- Ruyun Ma
- Yanqiong Lu
- Hongliang Gao
- C. Bereanu
- J. R. L. Webb
- Gennaro Infante
- Jean Mawhin
Citations in the corpus
- Positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation in a ball (2016, background): “It also yields a completion of the recent papers [3] and [4].”
- Global structure of radial positive solutions for a prescribed mean curvature problem in a ball (2014, methodology): “Very recently, Bereanu, Jebelean and Torres [7] used Leray-Schauder degree arguments and critical point theory for convex, lower semicontinuous perturbations of C1-functionals, proved existence of classical positive radial solutions for Dirichlet problems Mv + f(|x|, v) = 0 in B(R), v = 0 on ∂B(R), ”
- The Dirichlet Problem with Mean Curvature Operator in Minkowski Space – a Variational Approach (2014, background): “Moreover, in the case μ = 0 and Ω = BR(0), it is proved in [8] that there exists Λ > 0, strictly decreasing with respect to R, such that problem (1.”
- Positive solutions of the Dirichlet problem for the prescribed mean curvature equation in Minkowski space (2013, unknown): “Our aim here is indeed to extend to a genuine PDE setting what has been obtained in [6], for the one-dimensional problem, and in [3], [4], [7], for the radially symmetric problem in a ball.”