EXISTENCE AND REGULARITY OF SOLUTIONS FOR THE ELLIPTIC NONLINEAR TRANSPARENT MEDIA EQUATION
| dc.contributor.author | Balducci, Francesco | |
| dc.contributor.author | Oliva, Francescantonio | |
| dc.contributor.author | Petitta, Francesco | |
| dc.contributor.author | Stapenhorst, Matheus F. [UNESP] | |
| dc.contributor.institution | Sapienza Università di Roma | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2025-04-29T18:50:19Z | |
| dc.date.issued | 2025-08-01 | |
| dc.description.abstract | In this paper we study existence and regularity of solutions to Dirichlet problems as (Formula presented) where Ω is an open bounded subset of RN (N ≥ 2) with Lipschitz boundary, m > 0, and f belongs to the Lorentz space LN,∞(Ω). In particular, we explore the regularizing effect given by the degenerate coefficient |u|m in order to get non-trivial and bounded solutions with no smallness assumptions on the size of the data. | en |
| dc.description.affiliation | Dipartimento di Scienze di Base e Applicate per l’ Ingegneria Sapienza Università di Roma, Via Scarpa 16 | |
| dc.description.affiliation | Departamento de Matemática e Computação Universidade Estadual Paulista, Rua Roberto Símonsen 305, SP | |
| dc.description.affiliationUnesp | Departamento de Matemática e Computação Universidade Estadual Paulista, Rua Roberto Símonsen 305, SP | |
| dc.format.extent | 2485-2517 | |
| dc.identifier | http://dx.doi.org/10.3934/dcds.2024173 | |
| dc.identifier.citation | Discrete and Continuous Dynamical Systems- Series A, v. 45, n. 8, p. 2485-2517, 2025. | |
| dc.identifier.doi | 10.3934/dcds.2024173 | |
| dc.identifier.issn | 1553-5231 | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.scopus | 2-s2.0-105000442314 | |
| dc.identifier.uri | https://hdl.handle.net/11449/300678 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Discrete and Continuous Dynamical Systems- Series A | |
| dc.source | Scopus | |
| dc.subject | Nonlinear elliptic equations | |
| dc.subject | Torsion problem | |
| dc.subject | Total variation | |
| dc.subject | Transparent media equation | |
| dc.title | EXISTENCE AND REGULARITY OF SOLUTIONS FOR THE ELLIPTIC NONLINEAR TRANSPARENT MEDIA EQUATION | en |
| dc.type | Artigo | pt |
| dspace.entity.type | Publication | |
| relation.isOrgUnitOfPublication | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| relation.isOrgUnitOfPublication.latestForDiscovery | bbcf06b3-c5f9-4a27-ac03-b690202a3b4e | |
| unesp.campus | Universidade Estadual Paulista (UNESP), Faculdade de Ciências e Tecnologia, Presidente Prudente | pt |