{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,9]],"date-time":"2025-10-09T00:35:55Z","timestamp":1759970155733,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T00:00:00Z","timestamp":1736380800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Gruppo Nazionale per l\u2019Analisi Matematica, la Probabilit\u00e0 e le loro Applicazioni (GNAMPA) of Istituto Nazionale di Alta Matematica (INdAM)"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we prove existence and regularity results for a nonlinear elliptic problem of p-Laplacian type with a singular potential like fu\u03b3 and a lower order term bu, where u is the solution and b and f are only assumed to be summable functions. We show that, despite the lack of regularity of the data, for suitable choices of the function b in the lower order term, a strong regularizing effect appears. In particular we exhibit the existence of bounded solutions. Worth notice is that this result fails if b\u22610, i.e., in absence of the lower order term. Moreover, we show that, if the singularity is \u201cnot too large\u201d (i.e., \u03b3\u22641), such a regular solution is also unique.<\/jats:p>","DOI":"10.3390\/axioms14010047","type":"journal-article","created":{"date-parts":[[2025,1,9]],"date-time":"2025-01-09T07:00:47Z","timestamp":1736406047000},"page":"47","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Regularizing Effects for a Singular Elliptic Problem"],"prefix":"10.3390","volume":"14","author":[{"given":"Ida","family":"de Bonis","sequence":"first","affiliation":[{"name":"Dipartimento di Pianificazione, Design, Tecnologia dell\u2019Architettura, Sapienza Universit\u00e0 di Roma, Via Flaminia 70, 00196 Roma, Italy"}]},{"given":"Maria Michaela","family":"Porzio","sequence":"additional","affiliation":[{"name":"Dipartimento di Pianificazione, Design, Tecnologia dell\u2019Architettura, Sapienza Universit\u00e0 di Roma, Via Flaminia 70, 00196 Roma, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2025,1,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s00526-009-0266-x","article-title":"Semilinear elliptic equations with singular nonlinearities","volume":"37","author":"Boccardo","year":"2009","journal-title":"Calc. 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