{"id":"https://openalex.org/W2784875199","doi":"https://doi.org/10.14264/uql.2017.30","title":"Regularity results for nonlinear elliptic systems","display_name":"Regularity results for nonlinear elliptic systems","publication_year":2016,"publication_date":"2016-12-21","ids":{"openalex":"https://openalex.org/W2784875199","doi":"https://doi.org/10.14264/uql.2017.30","mag":"2784875199"},"language":"en","primary_location":{"id":"doi:10.14264/uql.2017.30","doi":"https://doi.org/10.14264/uql.2017.30","is_oa":false,"landing_page_url":"https://doi.org/10.14264/uql.2017.30","pdf_url":null,"source":{"id":"https://openalex.org/S7407053192","display_name":"The University of Queensland","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The University of Queensland","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056317705","display_name":"Chris van der Heide","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christopher Van Der Heide","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5056317705"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9901999831199646,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10229","display_name":"Geometric Analysis and Curvature Flows","score":0.003800000064074993,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11049","display_name":"Advanced Harmonic Analysis Research","score":0.002199999988079071,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partial-regularity","display_name":"partial regularity","score":0.9079999923706055},{"id":"https://openalex.org/keywords/nonlinear-elliptic-systems","display_name":"nonlinear elliptic systems","score":0.9909999966621399},{"id":"https://openalex.org/keywords/nonstandard-growth-conditions","display_name":"nonstandard growth conditions","score":0.9549999833106995},{"id":"https://openalex.org/keywords/holder-continuous-coefficients","display_name":"H\u00f6lder continuous coefficients","score":0.7699999809265137},{"id":"https://openalex.org/keywords/vmo-coefficients","display_name":"VMO coefficients","score":0.9760000109672546},{"id":"https://openalex.org/keywords/bmo-coefficients","display_name":"BMO coefficients","score":0.9079999923706055}],"concepts":[{"id":"https://openalex.org/C194198291","wikidata":"https://www.wikidata.org/wiki/Q565186","display_name":"Hausdorff dimension","level":2,"score":0.8068565130233765},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7777259945869446},{"id":"https://openalex.org/C553313952","wikidata":"https://www.wikidata.org/wiki/Q1537963","display_name":"H\u00f6lder condition","level":2,"score":0.7349408864974976},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6817919015884399},{"id":"https://openalex.org/C27142425","wikidata":"https://www.wikidata.org/wiki/Q1139334","display_name":"Almost everywhere","level":2,"score":0.6405306458473206},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6220827102661133},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5874012112617493},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5642344951629639},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5568243861198425},{"id":"https://openalex.org/C207390915","wikidata":"https://www.wikidata.org/wiki/Q1230525","display_name":"Divergence (linguistics)","level":2,"score":0.5373505353927612},{"id":"https://openalex.org/C70610323","wikidata":"https://www.wikidata.org/wiki/Q427625","display_name":"Elliptic operator","level":2,"score":0.49788928031921387},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.48267605900764465},{"id":"https://openalex.org/C141898687","wikidata":"https://www.wikidata.org/wiki/Q1501997","display_name":"Hausdorff distance","level":2,"score":0.4491165578365326},{"id":"https://openalex.org/C73225184","wikidata":"https://www.wikidata.org/wiki/Q1591095","display_name":"Hausdorff measure","level":3,"score":0.4380589425563812},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3761170506477356},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06193900108337402},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.14264/uql.2017.30","doi":"https://doi.org/10.14264/uql.2017.30","is_oa":false,"landing_page_url":"https://doi.org/10.14264/uql.2017.30","pdf_url":null,"source":{"id":"https://openalex.org/S7407053192","display_name":"The University of Queensland","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I165143802","host_organization_name":"The University of Queensland","host_organization_lineage":["https://openalex.org/I165143802"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The University of Queensland","raw_type":"dissertation"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W570230096","https://openalex.org/W931854690","https://openalex.org/W1597469717","https://openalex.org/W1604436244","https://openalex.org/W1963797210","https://openalex.org/W1967745713","https://openalex.org/W1978524918","https://openalex.org/W1980545889","https://openalex.org/W1990006619","https://openalex.org/W1995946994","https://openalex.org/W2003751296","https://openalex.org/W2005315176","https://openalex.org/W2010498754","https://openalex.org/W2011474167","https://openalex.org/W2023004453","https://openalex.org/W2023190787","https://openalex.org/W2024761773","https://openalex.org/W2027641901","https://openalex.org/W2032502055","https://openalex.org/W2032521572","https://openalex.org/W2032739822","https://openalex.org/W2033416887","https://openalex.org/W2038430841","https://openalex.org/W2039023074","https://openalex.org/W2039823190","https://openalex.org/W2043006279","https://openalex.org/W2043210167","https://openalex.org/W2043505849","https://openalex.org/W2044783690","https://openalex.org/W2045706051","https://openalex.org/W2047478400","https://openalex.org/W2048825808","https://openalex.org/W2051626494","https://openalex.org/W2052096973","https://openalex.org/W2052351441","https://openalex.org/W2054906121","https://openalex.org/W2055797708","https://openalex.org/W2058007760","https://openalex.org/W2059869453","https://openalex.org/W2060188076","https://openalex.org/W2061401829","https://openalex.org/W2064686103","https://openalex.org/W2067836232","https://openalex.org/W2067966382","https://openalex.org/W2071999796","https://openalex.org/W2073170881","https://openalex.org/W2080956040","https://openalex.org/W2081296260","https://openalex.org/W2082914320","https://openalex.org/W2083923148","https://openalex.org/W2085917055","https://openalex.org/W2092008454","https://openalex.org/W2113093392","https://openalex.org/W2119115630","https://openalex.org/W2122543191","https://openalex.org/W2129508336","https://openalex.org/W2136148434","https://openalex.org/W2166231663","https://openalex.org/W2314750725","https://openalex.org/W2327203791","https://openalex.org/W2327963661","https://openalex.org/W2497367977","https://openalex.org/W2626035210","https://openalex.org/W2907115488","https://openalex.org/W2964226705","https://openalex.org/W2973564433","https://openalex.org/W3137662468","https://openalex.org/W3157448929"],"related_works":["https://openalex.org/W2740315477","https://openalex.org/W7004881630","https://openalex.org/W1983723067","https://openalex.org/W2516180743","https://openalex.org/W2030854692","https://openalex.org/W2379260672","https://openalex.org/W2085068774","https://openalex.org/W2027692066","https://openalex.org/W2383639087","https://openalex.org/W4288068164"],"abstract_inverted_index":{"We":[0,20,43,56,89],"prove":[1],"partial":[2,11],"regularity":[3,41,74,85],"results":[4],"for":[5,63],"solutions":[6],"to":[7,95],"systems":[8],"of":[9,35,73,93,101],"elliptic":[10],"differentialnequations":[12],"with":[13],"divergence":[14],"structure,":[15],"under":[16],"nonstandard":[17],"growth":[18],"conditions.":[19],"consider":[21],"solutionsnto":[22],"mdiv":[23],"a(x,":[24],"u,":[25,29],"Du)":[26],"=":[27],"b(x,":[28],"Du),":[30],"and":[31,69,109],"use":[32],"the":[33,46,59,76,87,98,102,107],"method":[34],"A-":[36],"armonic":[37],"approximation":[38],"tonshow":[39],"Cn1,a":[40],"almost-everywhere.":[42],"further":[44,96],"calculate":[45],"optimal":[47],"exponent,":[48],"providednthe":[49],"operator":[50],"a":[51,71],"has":[52],"Holder":[53],"continuous":[54],"coefficients.":[55],"then":[57,90],"relax":[58],"continuity":[60],"assumption":[61],"tonallow":[62],"VMO":[64],"or":[65],"small":[66],"BMO":[67],"coefficients,":[68],"while":[70],"loss":[72],"in":[75,86],"solution":[77],"is":[78],"tonbe":[79],"expected,":[80],"we":[81],"retain":[82],"almost-everywhere":[83],"Cn0,a":[84],"solution.":[88],"modify":[91],"antechnique":[92],"Campanato":[94],"reduce":[97],"Hausdorff":[99],"dimension":[100],"singular":[103],"set,":[104],"assumingnrestrictions":[105],"on":[106],"exponent":[108],"ambient":[110],"dimension.n":[111]},"counts_by_year":[{"year":2018,"cited_by_count":3}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2018-02-02T00:00:00"}
