Zobrazeno 1 - 10
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pro vyhledávání: '"de Oliveira, Jose"'
We introduce a quadratic gradient type term for the Pucci extremal operators. Our analysis demonstrates that this proposed term extends the classical quadratic gradient term associated with the Laplace equation, and we investigate the impact of the K
Externí odkaz:
http://arxiv.org/abs/2411.01087
We are interested in finding prescribed $L^2$-norm solutions to inhomogeneous nonlinear Schr\"{o}dinger (INLS) equations. For $N\ge 3$ we treat the equation with combined Hardy-Sobolev power-type nonlinearities $$ -\Delta u+\lambda u=\mu|x|^{-b}|u|^{
Externí odkaz:
http://arxiv.org/abs/2407.09737
Our main goal is to investigate supercritical Hardy-Sobolev type inequalities with a logarithmic term and their corresponding variational problem. We prove the existence of extremal functions for the associated variational problem, despite the loss o
Externí odkaz:
http://arxiv.org/abs/2406.19128
Critical Sobolev-type inequality for a class of weighted Sobolev spaces on the entire space is established. We also investigate the existence of extremal function for the associated variational problem. As an application, we prove the existence of a
Externí odkaz:
http://arxiv.org/abs/2307.10483
Autor:
Mari, Luciano, de Oliveira, Jose Danuso Rocha, Savas-Halilaj, Andreas, de Sena, Renivaldo Sodre
Publikováno v:
Ann Glob Anal Geom 65 (2024), paper no. 19., 41pp
In this paper we study conformal solitons for the mean curvature flow in hyperbolic space $\mathbb{H}^{n+1}$. Working in the upper half-space model, we focus on horo-expanders, which relate to the conformal field $-\partial_0$. We classify cylindrica
Externí odkaz:
http://arxiv.org/abs/2307.05088
We establish a supercritical Trudinger-Moser type inequality for the $k$-Hessian operator on the space of the $k$-admissible radially symmetric functions $\Phi^{k}_{0,\mathrm{rad}}(B)$, where $B$ is the unit ball in $\mathbb{R}^{N}$. We also prove th
Externí odkaz:
http://arxiv.org/abs/2306.05549
In this paper, we propose a gradient type term for the $k$-Hessian equation that extends for $k>1$ the classical quadratic gradient term associated with the Laplace equation. We prove that such as gradient term is invariant by the Kazdan-Kramer chang
Externí odkaz:
http://arxiv.org/abs/2301.07201
Publikováno v:
Innovation, Competitiveness, and Development in Latin America : Lessons from the Past and Perspectives for the Future, 2024.
Externí odkaz:
https://doi.org/10.1093/oso/9780197648070.003.0009
Our main purpose in this paper is to establish the existence and nonexistence of extremal functions for sharp inequality of Adimurthi-Druet type for fractional dimensions on the entire space. Precisely, we extend the sharp Trudinger-Moser type inequa
Externí odkaz:
http://arxiv.org/abs/2203.14181