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dc.contributor.author
del Pezzo, Leandro Martin  
dc.contributor.author
Rossi, Julio Daniel  
dc.date.available
2018-09-14T20:49:51Z  
dc.date.issued
2016-12  
dc.identifier.citation
del Pezzo, Leandro Martin; Rossi, Julio Daniel; The first eigenvalue of the p- Laplacian on quantum graphs; Springer; Analysis and Mathematical Physics; 6; 4; 12-2016; 365-391  
dc.identifier.issn
1664-2368  
dc.identifier.uri
http://hdl.handle.net/11336/59802  
dc.description.abstract
We study the first eigenvalue of the p- Laplacian (with 1 < p< ∞) on a quantum graph with Dirichlet or Kirchoff boundary conditions on the nodes. We find lower and upper bounds for this eigenvalue when we prescribe the total sum of the lengths of the edges and the number of Dirichlet nodes of the graph. Also we find a formula for the shape derivative of the first eigenvalue (assuming that it is simple) when we perturb the graph by changing the length of an edge. Finally, we study in detail the limit cases p→ ∞ and p→ 1.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Eigenvalues  
dc.subject
P- Laplacian  
dc.subject
Quantum Graphs  
dc.subject
Shape Derivative  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
The first eigenvalue of the p- Laplacian on quantum graphs  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-09-14T13:16:25Z  
dc.identifier.eissn
1664-235X  
dc.journal.volume
6  
dc.journal.number
4  
dc.journal.pagination
365-391  
dc.journal.pais
Suiza  
dc.journal.ciudad
Basilea  
dc.description.fil
Fil: del Pezzo, Leandro Martin. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Rossi, Julio Daniel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Analysis and Mathematical Physics  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13324-016-0123-y  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs13324-016-0123-y  

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