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pro vyhledávání: '"35J20, 58J32"'
Autor:
Battaglia, Luca, López-Soriano, Rafael
In this paper we establish a new mean field-type formulation to study the problem of prescribing Gaussian and geodesic curvatures on compact surfaces with boundary, which is equivalent to the following Liouville-type PDE with nonlinear Neumann condit
Externí odkaz:
http://arxiv.org/abs/2309.07735
We consider the case with boundary of the classical Kazdan-Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via conformal deformations of the metric. We deal in particular with nega
Externí odkaz:
http://arxiv.org/abs/2105.04185
Publikováno v:
Ann. Mat. Pura Appl. (2022)
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argument, we derive a general existence result for surfaces with at least tw
Externí odkaz:
http://arxiv.org/abs/2011.01505
Publikováno v:
Analysis & PDE 15 (2022) 1897-1931
This paper is concerned with the compactness of metrics of the disk with prescribed Gaussian and geodesic curvatures. We consider a blowing-up sequence of metrics and give a precise description of its asymptotic behavior. In particular, the metrics b
Externí odkaz:
http://arxiv.org/abs/2004.14680
Autor:
Battaglia, Luca, López-Soriano, Rafael
We study a double mean field-type PDE related to a prescribed curvature problem on compacts surfaces with boundary. We provide a general blow-up analysis, then a Moser-Trudinger inequality, which gives energy-minimizing solutions for some range of pa
Externí odkaz:
http://arxiv.org/abs/1906.10934
We consider the problem of prescribing the Gaussian and the geodesic curvatures of a compact surface with boundary by a conformal deformation of the metric. We derive some existence results using a variational approach, either by minimization of the
Externí odkaz:
http://arxiv.org/abs/1806.11533
Autor:
López-Soriano, Rafael, Ruiz, David
In this paper we study the problem of prescribing the Gaussian curvature under a conformal change of the metric. We are concerned with the problem posed on a subdomain of the 2-sphere under Neumann boundary conditions of the conformal factor. If the
Externí odkaz:
http://arxiv.org/abs/1402.2124
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 202:1173-1185
We study conformal metrics with prescribed Gaussian curvature on surfaces with conical singularities and geodesic boundary in supercritical regimes. Exploiting a variational argument, we derive a general existence result for surfaces with at least tw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f02f1ab80273d7e3204c285ed735da47
https://doi.org/10.1007/s10231-022-01274-y
https://doi.org/10.1007/s10231-022-01274-y
Publikováno v:
Annales scientifiques de l'École Normale Supérieure. 55:1289-1328
We consider the problem of prescribing the Gaussian and the geodesic curvatures of a compact surface with boundary by a conformal deformation of the metric. We derive some existence results using a variational approach, either by minimization of the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6943136774f2b05e57ea416cb5732419
https://doi.org/10.24033/asens.2516
https://doi.org/10.24033/asens.2516
We consider the case with boundary of the classical Kazdan-Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via conformal deformations of the metric. We deal in particular with nega
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66e2c2f2119038ef39b722eb583a1142
https://hdl.handle.net/11384/108916
https://hdl.handle.net/11384/108916