Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
Metadatos
Afficher la notice complèteEditorial
Elsevier
Materia
Dirichlet problem Positive radial solutions Mean curvature operator Minkowski space Leray-Schauder degree Szulkin’s critical point theory
Date
2012Referencia bibliográfica
Published version: Bereanu, C., Jebelean, P., & Torres, P. J. (2013). Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. Journal of Functional Analysis, 264(1), 270-287. [https://doi.org/10.1016/j.jfa.2012.10.010]
Patrocinador
GENIL (Spain) YTR-2011-7; Ministerio de Economia y Competitividad, Spain MTM2011-23652; PN-II-RU-TE-2011-3-0157Résumé
In this paper, by using Leray-Schauder degree arguments and critical point
theory for convex, lower semicontinuous perturbations of C1-functionals,
we obtain existence of classical positive radial solutions for Dirichlet problems of type
div ( √1 − |∇ ∇v v|2 ) + f(|x|; v) = 0 in B(R); v = 0 on @B(R):
Here, B(R) = {x ∈ RN : |x| < R} and f : [0; R] × [0; α) → R is a
continuous function, which is positive on (0; R] × (0; α):