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Regularizing effects concerning elliptic equations with a superlinear gradient term

dc.contributor.authorLatorre, Marta
dc.contributor.authorMagliocca, Martina
dc.contributor.authorSegura de León, Sergio
dc.date.accessioned2024-04-03T06:19:26Z
dc.date.available2024-04-03T06:19:26Z
dc.date.issued2021
dc.identifier.citationLatorre, M., Magliocca, M. & Segura de León, S. Regularizing effects concerning elliptic equations with a superlinear gradient term. Rev Mat Complut 34, 297–356 (2021). https://doi.org/10.1007/s13163-020-00353-zes
dc.identifier.urihttps://hdl.handle.net/10115/31913
dc.description.abstractWe consider the homogeneous Dirichlet problem for an elliptic equation driven by a linear operator with discontinuous coefficients and having a subquadratic gradient term. This gradient term behaves as g(u)|\nabla u|^q, where 1<q<2 and g(s) is a continuous function. Data belong to L^m with 1\le m <N/2 as well as measure data instead of $L^1$-data, so that unbounded solutions are expected. Our aim is, given 1\le m<N/2 and 1<q<2, to find the suitable behaviour of $g$ close to infinity which leads to existence for our problem. We show that the presence of g has a regularizing effect in the existence and summability of the solution. Moreover, our results adjust with continuity with known results when either g(s) is constant or q=2.es
dc.language.isoenges
dc.rightscop. Springer
dc.subjectQuasilinear elliptic equationses
dc.subjectGradient term with superlinear growthes
dc.subjectRenormalized solutionses
dc.subjectMeasure dataes
dc.titleRegularizing effects concerning elliptic equations with a superlinear gradient termes
dc.typeinfo:eu-repo/semantics/articlees
dc.identifier.doi10.1007/s13163-020-00353-zes
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccesses


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