Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Aleks Jevnikar"'
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
Autor:
Daniele Bartolucci, Aleks Jevnikar
Publikováno v:
Journal of Differential Equations. 306:152-188
For any $\Omega\subset \mathbb{R}^N$ smooth and bounded domain, we prove uniqueness of positive solutions of free boundary problems arising in plasma physics on $\Omega$ in a neat interval depending only by the best constant of the Sobolev embedding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d2dea9b2a9f18ccc661558ec0e406f6
https://doi.org/10.1016/j.jde.2021.10.026
https://doi.org/10.1016/j.jde.2021.10.026
Publikováno v:
Advanced Nonlinear Studies. 23
In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8d952ff115b7b04ca8c057a16c96853
https://doi.org/10.1515/ans-2022-0062
https://doi.org/10.1515/ans-2022-0062
In this note we show non-degeneracy and uniqueness results for solutions of Toda systems associated to general simple Lie algebras with multiple singular sources on bounded domains. The argument is based on spectral properties of Cartan matrices and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35b1d8c1e1dd3a65b5b48ba5b85e20ca
https://hdl.handle.net/11390/1245046
https://hdl.handle.net/11390/1245046
Publikováno v:
Transactions of the American Mathematical Society. 373:8837-8859
We are concerned with a super-Liouville equation on compact surfaces with genus larger than one, obtaining the first non-trivial existence result for this class of problems via min-max methods. In particular we make use of a Nehari manifold and, afte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c54c1cdb129e0a0d57feff71a1c11ab0
https://doi.org/10.1090/tran/8209
https://doi.org/10.1090/tran/8209
Autor:
Daniele Bartolucci, Aleks Jevnikar
For $\Omega\subset \mathbb{R}^2$ a smooth and bounded domain, we derive a sharp universal energy estimate for non-negative solutions of free boundary problems on $\Omega$ arising in plasma physics. As a consequence, we are able to deduce new universa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2430a40c68b75ac42f32614cb126b1c5
http://hdl.handle.net/11390/1217412
http://hdl.handle.net/11390/1217412
We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain variations, the following alternative holds: either the shape of the bran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::719d51637ae1f770ed2a11d694a17913
http://hdl.handle.net/11390/1218284
http://hdl.handle.net/11390/1218284
Autor:
Wen Yang, Aleks Jevnikar
Publikováno v:
Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 149:325-352
We are concerned with an elliptic problem which describes a mean field equation of the equilibrium turbulence of vortices with variable intensities. In the first part of the paper, we describe the blow-up picture and highlight the differences from th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de705e4dd3b894fc6b2f1bcb61e509f0
https://doi.org/10.1017/prm.2018.30
https://doi.org/10.1017/prm.2018.30
In the present paper we initiate the variational analysis of a super sinh-Gordon system on compact surfaces, yielding the first example of non-trivial solution of min-max type. The proof is based on a linking argument jointly with a suitably defined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afa299c61e53e0b8db66eda6bf340b50
http://arxiv.org/abs/2102.00709
http://arxiv.org/abs/2102.00709
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fab6d1bbe805d8adaf8de54c06fcbad6
http://arxiv.org/abs/2004.14680
http://arxiv.org/abs/2004.14680