{"doi":"10.1007/s00526-007-0120-y","title":"Existence of minimizers for a polyconvex energy in a crystal with dislocations","abstract":null,"journal":"Calculus of Variations and Partial Differential Equations","year":2008,"id":640128,"datarank":0.4636563680037475,"base_score":3.091042453358316,"endowment":3.091042453358316,"self_citation_contribution":0.4636563680037475,"citation_network_contribution":0.0,"self_endowment_contribution":0.4636563680037475,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":21,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":1663582,"name":"Mariapia Palombaro","orcid":null,"position":1,"is_corresponding":false},{"id":1299580,"name":"Stefan Müller","orcid":"0000-0003-3158-3002","position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"resolved":true,"title":"Existence of minimizers for a polyconvex energy in a crystal with dislocations","abstract":"We provide existence theorems in nonlinear elasticity for minimum problems modeling the deformations of a crystal with a given dislocation. A key technical difficulty is that due to the presence of a the dislocation the elastic deformation gradient cannot be in L 2. Thus one needs to consider elastic energies with slow growth, to which the original results of Ball cannot be applied directly.","is_dataset_classified":null,"base_score":3.091042453358316,"endowment":3.091042453358316,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"19767382","pmcid":null,"openalex_id":"https://openalex.org/W2041497526","authors":[],"funders":[],"total_grants":0,"fwci":0.4308,"citation_percentile":0.60632404,"influential_citations":0,"citation_trend":[{"year":2013,"count":1},{"year":2014,"count":1},{"year":2015,"count":2},{"year":2016,"count":3},{"year":2017,"count":2},{"year":2018,"count":3},{"year":2019,"count":3},{"year":2020,"count":1},{"year":2021,"count":2},{"year":2023,"count":1}],"oa_status":"hybrid","license":"cc-by-nc","oa_locations":[{"url":"https://link.springer.com/content/pdf/10.1007/s00526-007-0120-y.pdf","host_type":"journal"},{"url":"https://link.springer.com/content/pdf/10.1007/s00526-007-0120-y.pdf","host_type":"publisher"},{"url":"https://link.springer.com/article/10.1007/s00526-007-0120-y/fulltext.html","host_type":"publisher"},{"url":"http://link.springer.com/content/pdf/10.1007/s00526-007-0120-y.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1007/s00526-007-0120-y","host_type":"journal"},{"url":"http://edoc.mpg.de/402107","host_type":"repository"}],"fields_of_study":["Nonlinear Partial Differential Equations","Advanced Mathematical Modeling in Engineering","Analytic and geometric function theory"],"mesh_terms":[],"keywords":["Nonlinear elasticity","Mathematics","Elasticity (physics)","Elastic energy","Dislocation","Nonlinear system","Ball (mathematics)","Mathematical analysis","Linear elasticity","Classical mechanics","Condensed matter physics","Physics","Thermodynamics"],"sdg_mappings":[{"sdg_number":0,"sdg_label":"Affordable and clean energy"}],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-08-07T06:55:41.803516Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}