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Orientador(es)
Resumo(s)
We study the existence and multiplicity of positive radial solutions of the Dirichlet problem for the Minkowski-curvature equation
{ -div(del upsilon/root 1-vertical bar del upsilon vertical bar(2)) in B-R, upsilon=0 on partial derivative B-R,B-
where B-R is a ball in R-N (N >= 2). According to the behaviour off = f (r, s) near s = 0, we prove the existence of either one, two or three positive solutions. All results are obtained by reduction to an equivalent non-singular one-dimensional problem, to which variational methods can be applied in a standard way.
Descrição
Palavras-chave
Quasilinear elliptic differential equation Minkowski-curvature Dirichlet boundary condition Radial solution Positive solution Existence Multiplicity Variational methods
Contexto Educativo
Citação
COELHO, Maria Isabel Esteves; CORSATO, Chiara; RIVETTI, Sabina – Positive radial solutions of the Dirichlet problem for the Minkowski-Curvature equation in a ball. Topological Methods in Nonlinear Analysis. ISSN: 1230-3429. Vol. 44, nr. 1 (2014), pp. 23-39