Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system

Name: Work Video:
Duration: 3 min 30 s
Zhaoli Liu; Zhi-Qiang Wang; Jianjun Zhang
{'id': 'https://openalex.org/W2066087576', 'doi': 'https://doi.org/10.1007/s10231-015-0489-8', 'title': 'Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system', 'display_name': 'Infinitely many sign-changing solutions for the nonlinear Schrödinger–Poisson system', 'publication_year': 2015, 'publication_date': '2015-03-19', 'ids': {'openalex': 'https://openalex.org/W2066087576', 'doi': 'https://doi.org/10.1007/s10231-015-0489-8', 'mag': '2066087576'}, 'language': 'en', 'primary_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s10231-015-0489-8', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s10231-015-0489-8.pdf', 'source': {'id': 'https://openalex.org/S177770778', 'display_name': 'Annali di Matematica Pura ed Applicata (1923 -)', 'issn_l': '0373-3114', 'issn': ['0373-3114', '1618-1891'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'bronze', 'oa_url': 'https://link.springer.com/content/pdf/10.1007/s10231-015-0489-8.pdf', 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5101535777', 'display_name': 'Zhaoli Liu', 'orcid': 'https://orcid.org/0000-0002-2487-1973'}, 'institutions': [{'id': 'https://openalex.org/I96852419', 'display_name': 'Capital Normal University', 'ror': 'https://ror.org/005edt527', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I96852419']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Zhaoli Liu', 'raw_affiliation_strings': ["School of Mathematical Sciences Capital Normal University Beijing People's Republic of China"], 'affiliations': [{'raw_affiliation_string': "School of Mathematical Sciences Capital Normal University Beijing People's Republic of China", 'institution_ids': ['https://openalex.org/I96852419']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5100404747', 'display_name': 'Zhi-Qiang Wang', 'orcid': 'https://orcid.org/0000-0003-1326-661X'}, 'institutions': [{'id': 'https://openalex.org/I162868743', 'display_name': 'Tianjin University', 'ror': 'https://ror.org/012tb2g32', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I162868743']}, {'id': 'https://openalex.org/I121980950', 'display_name': 'Utah State University', 'ror': 'https://ror.org/00h6set76', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I121980950']}], 'countries': ['CN', 'US'], 'is_corresponding': False, 'raw_author_name': 'Zhi-Qiang Wang', 'raw_affiliation_strings': ['Tianjin University', 'Utah State University'], 'affiliations': [{'raw_affiliation_string': 'Tianjin University', 'institution_ids': ['https://openalex.org/I162868743']}, {'raw_affiliation_string': 'Utah State University', 'institution_ids': ['https://openalex.org/I121980950']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5100358176', 'display_name': 'Jianjun Zhang', 'orcid': 'https://orcid.org/0000-0001-7172-0855'}, 'institutions': [{'id': 'https://openalex.org/I205237279', 'display_name': 'Nankai University', 'ror': 'https://ror.org/01y1kjr75', 'country_code': 'CN', 'type': 'education', 'lineage': ['https://openalex.org/I205237279']}], 'countries': ['CN'], 'is_corresponding': False, 'raw_author_name': 'Jianjun Zhang', 'raw_affiliation_strings': ["Chern Institute of Mathematics, Nankai University, Tianjin, People's Republic of China"], 'affiliations': [{'raw_affiliation_string': "Chern Institute of Mathematics, Nankai University, Tianjin, People's Republic of China", 'institution_ids': ['https://openalex.org/I205237279']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': {'value': 2390, 'currency': 'EUR', 'value_usd': 2990, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 22.202, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 181, 'citation_normalized_percentile': {'value': 0.999872, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '195', 'issue': '3', 'first_page': '775', 'last_page': '794'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10194', 'display_name': 'Nonlinear Partial Differential Equations', 'score': 0.9996, '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': 0.9996, '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/T10541', 'display_name': 'Nonlinear Differential Equations Analysis', 'score': 0.9912, '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/T11654', 'display_name': 'Advanced Mathematical Physics Problems', 'score': 0.9908, '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/schrödingers-cat', 'display_name': "Schrödinger's cat", 'score': 0.65220225}], 'concepts': [{'id': 'https://openalex.org/C139676723', 'wikidata': 'https://www.wikidata.org/wiki/Q1193832', 'display_name': 'Sign (mathematics)', 'level': 2, 'score': 0.7233449}, {'id': 'https://openalex.org/C158622935', 'wikidata': 'https://www.wikidata.org/wiki/Q660848', 'display_name': 'Nonlinear system', 'level': 2, 'score': 0.6765197}, {'id': 'https://openalex.org/C194800363', 'wikidata': 'https://www.wikidata.org/wiki/Q8588', 'display_name': "Schrödinger's cat", 'level': 2, 'score': 0.65220225}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.57170475}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.53088635}, {'id': 'https://openalex.org/C100906024', 'wikidata': 'https://www.wikidata.org/wiki/Q205692', 'display_name': 'Poisson distribution', 'level': 2, 'score': 0.52301496}, {'id': 'https://openalex.org/C38349280', 'wikidata': 'https://www.wikidata.org/wiki/Q1434290', 'display_name': 'Flow (mathematics)', 'level': 2, 'score': 0.44703355}, {'id': 'https://openalex.org/C61797465', 'wikidata': 'https://www.wikidata.org/wiki/Q1188986', 'display_name': 'Term (time)', 'level': 2, 'score': 0.43977955}, {'id': 'https://openalex.org/C48103436', 'wikidata': 'https://www.wikidata.org/wiki/Q599031', 'display_name': 'State (computer science)', 'level': 2, 'score': 0.4185623}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.40571982}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.40426534}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3823403}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.36171323}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.16606236}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.13773146}, {'id': 'https://openalex.org/C11413529', 'wikidata': 'https://www.wikidata.org/wiki/Q8366', 'display_name': 'Algorithm', 'level': 1, 'score': 0.09054977}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s10231-015-0489-8', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s10231-015-0489-8.pdf', 'source': {'id': 'https://openalex.org/S177770778', 'display_name': 'Annali di Matematica Pura ed Applicata (1923 -)', 'issn_l': '0373-3114', 'issn': ['0373-3114', '1618-1891'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://doi.org/10.1007/s10231-015-0489-8', 'pdf_url': 'https://link.springer.com/content/pdf/10.1007/s10231-015-0489-8.pdf', 'source': {'id': 'https://openalex.org/S177770778', 'display_name': 'Annali di Matematica Pura ed Applicata (1923 -)', 'issn_l': '0373-3114', 'issn': ['0373-3114', '1618-1891'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310319900', 'host_organization_name': 'Springer Science+Business Media', 'host_organization_lineage': ['https://openalex.org/P4310319965', 'https://openalex.org/P4310319900'], 'host_organization_lineage_names': ['Springer Nature', 'Springer Science+Business Media'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': 'publishedVersion', 'is_accepted': True, 'is_published': True}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 36, 'referenced_works': ['https://openalex.org/W1251777638', 'https://openalex.org/W1511944115', 'https://openalex.org/W1527663172', 'https://openalex.org/W1971696848', 'https://openalex.org/W1977885825', 'https://openalex.org/W1982258462', 'https://openalex.org/W1983735372', 'https://openalex.org/W1990966857', 'https://openalex.org/W1991723288', 'https://openalex.org/W1995843622', 'https://openalex.org/W1998054243', 'https://openalex.org/W2003238718', 'https://openalex.org/W2007638845', 'https://openalex.org/W2024025060', 'https://openalex.org/W2034678961', 'https://openalex.org/W2049988201', 'https://openalex.org/W2050926333', 'https://openalex.org/W2056871845', 'https://openalex.org/W2058354499', 'https://openalex.org/W2062341330', 'https://openalex.org/W2073693400', 'https://openalex.org/W2075085563', 'https://openalex.org/W2090930259', 'https://openalex.org/W2094966327', 'https://openalex.org/W2111607553', 'https://openalex.org/W2118495844', 'https://openalex.org/W2123584176', 'https://openalex.org/W2511562642', 'https://openalex.org/W2603154707', 'https://openalex.org/W2962915728', 'https://openalex.org/W3101387460', 'https://openalex.org/W3101418745', 'https://openalex.org/W3103160692', 'https://openalex.org/W4236905502', 'https://openalex.org/W4249852444', 'https://openalex.org/W72832168'], 'related_works': ['https://openalex.org/W4388747848', 'https://openalex.org/W42295635', 'https://openalex.org/W3122938442', 'https://openalex.org/W2330575325', 'https://openalex.org/W2164424388', 'https://openalex.org/W2110143569', 'https://openalex.org/W2077799587', 'https://openalex.org/W2025206082', 'https://openalex.org/W1973996291', 'https://openalex.org/W1488915263'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2066087576', 'counts_by_year': [{'year': 2024, 'cited_by_count': 6}, {'year': 2023, 'cited_by_count': 17}, {'year': 2022, 'cited_by_count': 20}, {'year': 2021, 'cited_by_count': 26}, {'year': 2020, 'cited_by_count': 30}, {'year': 2019, 'cited_by_count': 20}, {'year': 2018, 'cited_by_count': 21}, {'year': 2017, 'cited_by_count': 20}, {'year': 2016, 'cited_by_count': 13}, {'year': 2015, 'cited_by_count': 8}], 'updated_date': '2025-01-11T02:57:30.487545', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
