{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T03:05:43Z","timestamp":1740107143390,"version":"3.37.3"},"reference-count":10,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2018,3,28]],"date-time":"2018-03-28T00:00:00Z","timestamp":1522195200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graphs and Combinatorics"],"published-print":{"date-parts":[[2018,5]]},"DOI":"10.1007\/s00373-018-1889-5","type":"journal-article","created":{"date-parts":[[2018,3,28]],"date-time":"2018-03-28T02:10:33Z","timestamp":1522203033000},"page":"501-508","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Upper Bounds of the Eigenvalues Related to a Weighted Fractional p-Laplacian on Metric Graphs"],"prefix":"10.1007","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3032-0879","authenticated-orcid":false,"given":"Mohammed","family":"El A\u00efdi","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,3,28]]},"reference":[{"key":"1889_CR1","volume-title":"Introduction to Quantum graphs","author":"G Berkolaiko","year":"2013","unstructured":"Berkolaiko, G., Kuchment, P.: Introduction to Quantum graphs, vol. 186. American Mathematical Society, Providence (2013)"},{"issue":"4","key":"1889_CR2","doi-asserted-by":"publisher","first-page":"1813","DOI":"10.3934\/dcds.2016.36.1813","volume":"36","author":"L Brasco","year":"2016","unstructured":"Brasco, L., Parini, E., Squassina, M.: Stability of variational eigenvalues for the fractional \n                    \n                      \n                    \n                    $$p$$\n                    \n                      \n                        p\n                      \n                    \n                  -Laplacian. Discret. Contin. Dyn. Syst. Ser. A 36(4), 1813\u20131845 (2016)","journal-title":"Discret. Contin. Dyn. Syst. Ser. A"},{"key":"1889_CR3","doi-asserted-by":"publisher","first-page":"419","DOI":"10.4171\/IFB\/325","volume":"16","author":"L Brasco","year":"2014","unstructured":"Brasco, L., Lindgren, E., Parini, E.: The fractional Cheeger problem. Interfaces Free Bound. 16, 419\u2013458 (2014)","journal-title":"Interfaces Free Bound."},{"key":"1889_CR4","doi-asserted-by":"publisher","first-page":"391","DOI":"10.1007\/BF02786802","volume":"22","author":"CV Coffman","year":"1969","unstructured":"Coffman, C.V.: A minimum\u2013maximum principle for a class of nonlinear integral equations. J. Anal. Math. 22, 391\u2013419 (1969)","journal-title":"J. Anal. Math."},{"key":"1889_CR5","doi-asserted-by":"publisher","DOI":"10.1080\/17476933.2018.1434630","author":"M A\u00efdi El","year":"2018","unstructured":"El A\u00efdi, M.: On the eigenvalues for a weighted \n                    \n                      \n                    \n                    $$p$$\n                    \n                      \n                        p\n                      \n                    \n                  -Laplacian operator on metric graphs. Complex Var. Elliptic Equ. (2018). \n                    https:\/\/doi.org\/10.1080\/17476933.2018.1434630","journal-title":"Complex Var. Elliptic Equ."},{"key":"1889_CR6","doi-asserted-by":"publisher","first-page":"565","DOI":"10.1512\/iumj.1971.20.20046","volume":"20","author":"AM Garsia","year":"1971","unstructured":"Garsia, A.M., Rodemich, E., Rumsey, H.J.: A real variable lemma and the continuity of paths of some Gaussian processes. Indiana Univ. Math. 20, 565\u2013578 (1971)","journal-title":"Indiana Univ. Math."},{"key":"1889_CR7","doi-asserted-by":"publisher","first-page":"2379","DOI":"10.1016\/j.jfa.2011.12.004","volume":"262","author":"M Kwa\u015bnicki","year":"2013","unstructured":"Kwa\u015bnicki, M.: Eigenvalues of the fractional Laplace operator in the interval. J. Funct. Anal. 262, 2379\u20132402 (2013)","journal-title":"J. Funct. Anal."},{"key":"1889_CR8","doi-asserted-by":"publisher","DOI":"10.1090\/surv\/161","volume-title":"Morse Theoretic Aspects of $$p$$ p","author":"K Perera","year":"2010","unstructured":"Perera, K., Agarwal, P.R., O\u2019Regan, D.: Morse Theoretic Aspects of \n                    \n                      \n                    \n                    $$p$$\n                    \n                      \n                        p\n                      \n                    \n                  -Laplacian Type Operators, vol. 161. American Mathematical Society, Providence (2010)"},{"key":"1889_CR9","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/S0021-9045(03)00033-9","volume":"121","author":"M Solomyak","year":"2003","unstructured":"Solomyak, M.: On approximation of functions from Sobolev spaces on metric graphs. J. Approx. Theory. 121, 199\u2013219 (2003)","journal-title":"J. Approx. Theory."},{"key":"1889_CR10","series-title":"International Mathematical Series","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1007\/978-1-4615-0777-2_20","volume-title":"Nonlinear Problems in Mathematical Physics and Related Topics I","author":"M Solomyak","year":"2002","unstructured":"Solomyak, M.: On eigenvalue estimates for the weighted Laplacian on metric graphs. In: Birman, M.S., Hildebrandt, S., Solonnikov, V.A., Uraltseva, N.N. (eds.) Nonlinear Problems in Mathematical Physics and Related Topics I. International Mathematical Series, vol. 1, pp. 327\u2013347. Springer, New York (2002)"}],"container-title":["Graphs and Combinatorics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00373-018-1889-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1889-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00373-018-1889-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,3,27]],"date-time":"2019-03-27T20:33:21Z","timestamp":1553718801000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00373-018-1889-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,3,28]]},"references-count":10,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2018,5]]}},"alternative-id":["1889"],"URL":"https:\/\/doi.org\/10.1007\/s00373-018-1889-5","relation":{},"ISSN":["0911-0119","1435-5914"],"issn-type":[{"type":"print","value":"0911-0119"},{"type":"electronic","value":"1435-5914"}],"subject":[],"published":{"date-parts":[[2018,3,28]]},"assertion":[{"value":"13 September 2017","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 March 2018","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 March 2018","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}