SZTE Repository of Papers and Books: No conditions. Results ordered -Date Deposited. 2020-09-20T04:59:42ZEPrintshttp://acta.bibl.u-szeged.hu/images/acta.jpghttp://acta.bibl.u-szeged.hu/2020-01-27T11:11:11Z2020-07-29T12:24:55Zhttp://acta.bibl.u-szeged.hu/id/eprint/64717This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/647172020-01-27T11:11:11ZCorrigendum to “Positive weak solutions of elliptic Dirichlet problems with singularities in both the dependent and the independent variables”This paper serves as a corrigendum to the paper “Positive weak solutions of elliptic Dirichlet problems with singularities in both the dependent and the independent variables”, published in [Electron. J. Qual. Theory Differ. Equ. 2019, No. 54, 1–17]. We correct a typo which appears several times in the article.Tomas GodoyAlfredo Guerin2019-09-30T09:19:00Z2020-07-29T12:24:55Zhttp://acta.bibl.u-szeged.hu/id/eprint/62278This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/622782019-09-30T09:19:00ZPositive weak solutions of elliptic Dirichlet problems with singularities in both the dependent and the independent variablesWe consider singular problems of the form −∆u = k (·, u) − h (·, u) in Ω, u = 0 on ∂Ω, u > 0 in Ω, where Ω is a bounded C 1,1 domain in Rn , n ≥ 2, h : Ω × [0, ∞) → [0, ∞) and k : Ω × (0, ∞) → [0, ∞) are Carathéodory functions such that h (x, ·) is nondecreasing, and k (x, ·) is nonincreasing and singular at the origin a.e. x ∈ Ω. Additionally, k (·,s) and h (·,s) are allowed to be singular on ∂Ω for s > 0. Under suitable additional hypothesis on h and k, we prove that the stated problem has a unique weak solution u ∈ H1 0 (Ω), and that u belongs to C . The behavior of the solution near ∂Ω is also addressed.Tomas GodoyAlfredo Guerin2018-11-07T11:08:09Z2020-07-29T12:29:01Zhttp://acta.bibl.u-szeged.hu/id/eprint/55735This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/557352018-11-07T11:08:09ZCorrigendum to multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problemsThis paper serves as a corrigendum to the paper “Multiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problems”, published in Electron J. Qual. Theory Differ. Equ. 2017, No. 100, 1–30. We modify one of the assumptions of that paper and we present a correct proof of the Lemma 2.11 of that paper.Tomas GodoyAlfredo Guerin2018-05-31T15:03:43Z2020-07-29T12:39:01Zhttp://acta.bibl.u-szeged.hu/id/eprint/54805This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/548052018-05-31T15:03:43ZMultiplicity of positive weak solutions to subcritical singular elliptic Dirichlet problemsTomas GodoyAlfredo Guerin