Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Marcos Montenegro"'
Autor:
Marcos Montenegro, Ezequiel R. Barbosa
Publikováno v:
Electronic Journal of Differential Equations, Vol 2007, Iss 87, Pp 1-5 (2007)
In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Externí odkaz:
https://doaj.org/article/675ab18e80f54709962838f2a85c2ba3
Autor:
Jurandir Ceccon, Marcos Montenegro
Publikováno v:
Anais da Academia Brasileira de Ciências, Vol 77, Iss 4, Pp 581-587 (2005)
We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided. In particular we extend the
Externí odkaz:
https://doaj.org/article/fb7e22e2755b4813b7a4dc056cded847
Publikováno v:
The Journal of Geometric Analysis. 31:913-952
Let M be a smooth compact manifold of dimension $$n \ge 1$$ without boundary endowed with a volume form $$\omega $$ and a fibrewise norm $$\mathcal {N}:T^*M \rightarrow \mathbb {R}$$ . For any $$p > q \ge 1$$ and corresponding interpolation parameter
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f927e5d48c3e9320f87c277b0742702
https://doi.org/10.1007/s12220-019-00306-z
https://doi.org/10.1007/s12220-019-00306-z
Publikováno v:
Journal of the London Mathematical Society. 101:23-42
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0619ef57881aa77dc17d8054b661700f
https://doi.org/10.1112/jlms.12256
https://doi.org/10.1112/jlms.12256
Publikováno v:
Journal of Mathematical Analysis and Applications. 513:126225
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd4f232ae8685de677eb64a8d4434a76
https://doi.org/10.1016/j.jmaa.2022.126225
https://doi.org/10.1016/j.jmaa.2022.126225
Publikováno v:
Calculus of Variations and Partial Differential Equations. 59
In this paper we develop a comprehensive study on principal eigenvalues and maximum and comparison principles related to the nonlocal Lane–Emden problem $$\begin{aligned} \left\{ \begin{array}{llll} (-\Delta )^{s}u = \lambda \rho (x)\vert v\vert ^{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0ef7c622d364e8ea9a9706e019facdad
https://doi.org/10.1007/s00526-020-01770-0
https://doi.org/10.1007/s00526-020-01770-0
Publikováno v:
Transactions of the American Mathematical Society. 372:2753-2776
We establish sharp affine weighted L p L^p Sobolev type inequalities by using the L p L_p Busemann–Petty centroid inequality proved by Lutwak, Yang, and Zhang. Our approach consists of combining the latter with a suitable family of sharp weighted L
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::07627b38041171509f1bd838cfebb2e8
https://doi.org/10.1090/tran/7728
https://doi.org/10.1090/tran/7728
Autor:
Julian Haddad, Marcos Montenegro
Publikováno v:
Journal of Differential Equations. 264:3073-3085
The C r dependence problem of multiple Dirichlet eigenvalues on domains is discussed for elliptic operators by regarding C r + 1 -smooth one-parameter families of C 1 perturbations of domains in R n . As applications of our main theorem (Theorem 1),
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a1eee677bf56f85f4d58e2d03fcdb149
https://doi.org/10.1016/j.jde.2017.07.017
https://doi.org/10.1016/j.jde.2017.07.017
Publikováno v:
Advances in Mathematics. 386:107808
Given a bounded open subset Ω of R n , we establish the weak closure of the affine ball B p A ( Ω ) = { f ∈ W 0 1 , p ( Ω ) : E p f ≤ 1 } with respect to the affine functional E p f introduced by Lutwak, Yang and Zhang in [46] as well as its c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38f44b630e6072fd7b8cab6811d1a8ff
https://doi.org/10.1016/j.aim.2021.107808
https://doi.org/10.1016/j.aim.2021.107808
Publikováno v:
Mathematische Annalen. 370:287-308
We establish a sharp affine $$L^p$$ Sobolev trace inequality by using the $$L_p$$ Busemann–Petty centroid inequality. For $$p = 2$$ , our affine version is stronger than the famous sharp $$L^2$$ Sobolev trace inequality proved independently by Esco
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f1d6329c0e3525c8ef35067e99ceb87
https://doi.org/10.1007/s00208-017-1548-9
https://doi.org/10.1007/s00208-017-1548-9