{"id":"https://openalex.org/W7220690384","doi":"https://doi.org/10.48550/arxiv.2610.05866","title":"A rigidity result for the weighted p-Laplace equation in higher dimensions","display_name":"A rigidity result for the weighted p-Laplace equation in higher dimensions","publication_year":2026,"publication_date":"2026-10-05","ids":{"openalex":"https://openalex.org/W7220690384","doi":"https://doi.org/10.48550/arxiv.2610.05866"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.05866","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05866","pdf_url":"https://arxiv.org/pdf/2610.05866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.05866","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5157734986","display_name":"Ching-Lung Lin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I62318514","display_name":"University of Duisburg-Essen","ror":"https://ror.org/04mz5ra38","country_code":"DE","type":"education","lineage":["https://openalex.org/I62318514"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["DE","TW"],"is_corresponding":false,"raw_author_name":"Lin, Ching-Lung","raw_affiliation_strings":["Department of Mathematics , National Cheng Kung University , Tainan 701 , Taiwan","Fakult\u00e4t f\u00fcr Mathematik , University of Duisburg-Essen , Essen , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , National Cheng Kung University , Tainan 701 , Taiwan","institution_ids":["https://openalex.org/I91807558"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik , University of Duisburg-Essen , Essen , Germany","institution_ids":["https://openalex.org/I62318514"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5157773973","display_name":"Yi-Hsuan Lin","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]},{"id":"https://openalex.org/I91807558","display_name":"National Cheng Kung University","ror":"https://ror.org/01b8kcc49","country_code":"TW","type":"education","lineage":["https://openalex.org/I91807558"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Lin, Yi-Hsuan","raw_affiliation_strings":["Department of Applied Mathematics , National Yang Ming Chiao Tung University , Hsinchu , Taiwan &","Department of Mathematics , National Cheng Kung University , Tainan 701 , Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics , National Yang Ming Chiao Tung University , Hsinchu , Taiwan &","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Mathematics , National Cheng Kung University , Tainan 701 , Taiwan","institution_ids":["https://openalex.org/I91807558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11205","display_name":"Numerical methods in inverse problems","score":0.8939999938011169,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11205","display_name":"Numerical methods in inverse problems","score":0.8939999938011169,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.050999999046325684,"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/T11022","display_name":"Spectral Theory in Mathematical Physics","score":0.007799999788403511,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/rigidity","display_name":"rigidity","score":0.7979999780654907},{"id":"https://openalex.org/keywords/dirichlet-to-neumann-map","display_name":"Dirichlet-to-Neumann map","score":0.9860000014305115},{"id":"https://openalex.org/keywords/local-rigidity","display_name":"local rigidity","score":0.6890000104904175},{"id":"https://openalex.org/keywords/diffeomorphisms","display_name":"diffeomorphisms","score":0.5839999914169312},{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.4580000042915344},{"id":"https://openalex.org/keywords/extra-dimensions","display_name":"extra dimensions","score":0.3619999885559082}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8377000093460083},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7523999810218811},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.6804999709129333},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6593999862670898},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.6344000101089478},{"id":"https://openalex.org/C11210021","wikidata":"https://www.wikidata.org/wiki/Q1520713","display_name":"Linearization","level":3,"score":0.597599983215332},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.3792000114917755},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.36160001158714294},{"id":"https://openalex.org/C134466208","wikidata":"https://www.wikidata.org/wiki/Q1520657","display_name":"Weight function","level":2,"score":0.34220001101493835},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.3400000035762787},{"id":"https://openalex.org/C90377204","wikidata":"https://www.wikidata.org/wiki/Q1052594","display_name":"Uniform boundedness","level":3,"score":0.33340001106262207},{"id":"https://openalex.org/C2988329120","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary values","level":3,"score":0.3057999908924103},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.2915000021457672},{"id":"https://openalex.org/C57489055","wikidata":"https://www.wikidata.org/wiki/Q190046","display_name":"Ellipsoid","level":2,"score":0.2913999855518341},{"id":"https://openalex.org/C121854251","wikidata":"https://www.wikidata.org/wiki/Q62932","display_name":"Elasticity (physics)","level":2,"score":0.2840999960899353},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C33222762","wikidata":"https://www.wikidata.org/wiki/Q321119","display_name":"Identity function","level":2,"score":0.26989999413490295},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2612999975681305},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.2531999945640564},{"id":"https://openalex.org/C73099012","wikidata":"https://www.wikidata.org/wiki/Q5459050","display_name":"Flexural rigidity","level":2,"score":0.2500999867916107}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.05866","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05866","pdf_url":"https://arxiv.org/pdf/2610.05866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2610.05866","doi":"https://doi.org/10.48550/arxiv.2610.05866","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.05866","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.05866","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.05866","pdf_url":"https://arxiv.org/pdf/2610.05866","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320325052","display_name":"Universit\u00e4t Duisburg-Essen","ror":"https://ror.org/04mz5ra38"},{"id":"https://openalex.org/F4320331164","display_name":"National Science and Technology Council","ror":"https://ror.org/00wnb9798"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220690384.pdf","grobid_xml":"https://content.openalex.org/works/W7220690384.grobid-xml"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W7213327559","https://openalex.org/W7213407525"],"related_works":["https://openalex.org/W4396814370","https://openalex.org/W7221776159","https://openalex.org/W7099383172","https://openalex.org/W1551364703","https://openalex.org/W4404676272","https://openalex.org/W2404068376","https://openalex.org/W4406129778","https://openalex.org/W4384559946","https://openalex.org/W4205895508","https://openalex.org/W4386091056"],"abstract_inverted_index":{"We":[0,17,50],"study":[1],"rigidity":[2,54,115],"for":[3,46,117,124],"the":[4,32,47,77,99,118,125,130],"weighted":[5],"$p$-Laplace":[6],"equation":[7],"on":[8],"smooth":[9,21,57],"bounded":[10],"domains":[11],"in":[12,64],"dimensions":[13],"three":[14],"and":[15,76],"higher.":[16],"show":[18],"that":[19,45],"a":[20,90,108],"positive":[22,58],"weight":[23,60,69,79],"sufficiently":[24,85],"close":[25,73,86],"to":[26,74,83,87],"$1$":[27,30],"is":[28,62,80,101],"identically":[29],"if":[31],"derivative":[33],"of":[34,140],"its":[35],"Dirichlet-to-Neumann":[36],"map":[37],"at":[38,55,107],"one":[39,65],"affine":[40],"boundary":[41,100],"value":[42],"agrees":[43],"with":[44,113],"unit":[48],"weight.":[49,142],"also":[51],"prove":[52],"local":[53],"every":[56],"reference":[59,68],"which":[61],"constant":[63],"direction.":[66],"The":[67,103],"need":[70],"not":[71,137],"be":[72,84],"$1$,":[75],"unknown":[78],"only":[81],"required":[82],"it,":[88],"without":[89,110],"directional":[91],"restriction.":[92],"No":[93],"convexity,":[94],"analyticity,":[95],"or":[96],"agreement":[97],"near":[98],"assumed.":[102],"proof":[104],"combines":[105],"linearization":[106],"solution":[109],"critical":[111],"points":[112],"recent":[114],"results":[116],"anisotropic":[119],"Calder\u00f3n":[120],"problem.":[121],"An":[122],"identity":[123],"linearized":[126],"conductivity":[127],"tensors":[128],"removes":[129],"remaining":[131],"diffeomorphism.":[132],"This":[133],"last":[134],"step":[135],"does":[136],"require":[138],"smallness":[139],"either":[141]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-07T00:00:00"}