{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,2]],"date-time":"2026-04-02T16:49:42Z","timestamp":1775148582185,"version":"3.50.1"},"reference-count":11,"publisher":"Wiley","license":[{"start":{"date-parts":[[2012,1,1]],"date-time":"2012-01-01T00:00:00Z","timestamp":1325376000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["10971224"],"award-info":[{"award-number":["10971224"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["A2011201011"],"award-info":[{"award-number":["A2011201011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"NSF of Hebei Province","award":["10971224"],"award-info":[{"award-number":["10971224"]}]},{"name":"NSF of Hebei Province","award":["A2011201011"],"award-info":[{"award-number":["A2011201011"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2012]]},"abstract":"<jats:p>This paper deals with anisotropic obstacle problem for the<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mi>\ud835\udc9c<\/mml:mi><\/mml:mrow><\/mml:math>-harmonic equation<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:msubsup><mml:mo>\u2211<\/mml:mo><mml:mrow><mml:mi>i<\/mml:mi><mml:mo>=<\/mml:mo><mml:mn>1<\/mml:mn><\/mml:mrow><mml:mi>n<\/mml:mi><\/mml:msubsup><mml:mrow><mml:msub><mml:mi>D<\/mml:mi><mml:mi>i<\/mml:mi><\/mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:msub><mml:mi>a<\/mml:mi><mml:mi>i<\/mml:mi><\/mml:msub><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mrow><mml:mi>x<\/mml:mi><mml:mo>,<\/mml:mo><mml:mi>D<\/mml:mi><mml:mi>u<\/mml:mi><mml:mrow><mml:mo stretchy=\"false\">(<\/mml:mo><mml:mi>x<\/mml:mi><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mo stretchy=\"false\">)<\/mml:mo><\/mml:mrow><\/mml:mrow><mml:mo>=<\/mml:mo><mml:mn>0<\/mml:mn><\/mml:mrow><\/mml:math>. An integrability result is given under suitable assumptions, which show higher integrability of the boundary datum, and the obstacle force solutions<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>u<\/mml:mi><\/mml:mrow><\/mml:math>have higher integrability as well.<\/jats:p>","DOI":"10.1155\/2012\/549285","type":"journal-article","created":{"date-parts":[[2012,6,28]],"date-time":"2012-06-28T17:00:47Z","timestamp":1340902847000},"page":"1-6","source":"Crossref","is-referenced-by-count":5,"title":["Integrability for Solutions of Anisotropic Obstacle Problems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Hongya","family":"Gao","sequence":"first","affiliation":[{"name":"College of Mathematics and Computer Science, Hebei University, Baoding 071002, China"}]},{"given":"Yanjie","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Hebei University, Baoding 071002, China"}]},{"given":"Shuangli","family":"Li","sequence":"additional","affiliation":[{"name":"College of Mathematics and Computer Science, Hebei University, Baoding 071002, China"}]}],"member":"311","reference":[{"key":"1","volume":"151","year":"2002"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-75-04211-8"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1515\/crll.1994.454.143"},{"key":"4","doi-asserted-by":"crossref","first-page":"2867","DOI":"10.1016\/j.na.2011.11.028","volume":"75","year":"2012","journal-title":"Nonlinear Analysis: Theory, Methods & Applications"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2003.11.007"},{"issue":"5","key":"6","first-page":"345","volume":"7","year":"1991","journal-title":"Unione Matematica Italiana"},{"issue":"13","key":"7","doi-asserted-by":"crossref","first-page":"4761","DOI":"10.1016\/j.na.2012.03.026","volume":"75","year":"2012","journal-title":"Nonlinear Analysis: Theory, Methods & Applications"},{"key":"8","year":"1968"},{"key":"9","year":"1968"},{"key":"10","volume":"224","year":"1977"},{"key":"11","series-title":"Annals of Mathematics Studies","volume":"105","year":"1983"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/549285.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/549285.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2012\/549285.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,20]],"date-time":"2017-06-20T16:43:39Z","timestamp":1497977019000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/ijmms\/2012\/549285\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"references-count":11,"alternative-id":["549285","549285"],"URL":"https:\/\/doi.org\/10.1155\/2012\/549285","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"value":"0161-1712","type":"print"},{"value":"1687-0425","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012]]}}}