Publication
Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation
| dc.contributor.author | Coelho, Isabel | |
| dc.contributor.author | Corsato, Chiara | |
| dc.contributor.author | Obersnel, Franco | |
| dc.contributor.author | Omari, Pierpaolo | |
| dc.date.accessioned | 2012-10-25T14:54:26Z | |
| dc.date.available | 2012-10-25T14:54:26Z | |
| dc.date.issued | 2012-08 | |
| dc.description.abstract | We discuss existence and multiplicity of positive solutions of the Dirichlet problem for the quasilinear ordinary differential equation-(u' / root 1 - u'(2))' = f(t, u). Depending on the behaviour of f = f(t, s) near s = 0, we prove the existence of either one, or two, or three, or infinitely many positive solutions. In general, the positivity of f is not required. All results are obtained by reduction to an equivalent non-singular problem to which variational or topological methods apply in a classical fashion. | por |
| dc.identifier.citation | Coelho I, Corsato C, Obersnel F, Omari P. Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation. Advanced Nonlinear Studies. 2012; 3 (12): 621-638. | por |
| dc.identifier.issn | 1536-1365 | |
| dc.identifier.uri | http://hdl.handle.net/10400.21/1824 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | Advanced Nonlinear Studies | por |
| dc.subject | Quasilinear Ordinary Differential Equation | por |
| dc.subject | Minkowski-Curvature | por |
| dc.subject | Dirichlet Boundary Conditions | por |
| dc.subject | Positive Solution | por |
| dc.subject | Existence | por |
| dc.subject | Multiplicity | por |
| dc.subject | Critical Point Theory | por |
| dc.subject | Bifurcation Methods | por |
| dc.subject | Lower and Upper Solutions | por |
| dc.title | Positive Solutions of the Dirichlet Problem for the One-dimensional Minkowski-Curvature Equation | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.conferencePlace | San Antonio | por |
| oaire.citation.endPage | 638 | por |
| oaire.citation.issue | 3 | por |
| oaire.citation.startPage | 621 | por |
| oaire.citation.title | Advanced Nonlinear Studies | por |
| oaire.citation.volume | 12 | por |
| rcaap.rights | restrictedAccess | por |
| rcaap.type | article | por |
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