6,761 research outputs found
Asymptotic profile of positive solutions of Lane-Emden problems in dimension two
We consider families of solutions to the problem
\begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-\Delta u= u^p
& \mbox{ in }\Omega\\ u>0 & \mbox{ in }\Omega\\ u=0 & \mbox{ on }\partial
\Omega \end{array}\right.\tag{} \end{equation} where and
is a smooth bounded domain of . We give a complete
description of the asymptotic behavior of as ,
under the condition \[p\int_{\Omega} |\nabla u_p|^2\,dx\rightarrow
\beta\in\mathbb R\qquad\mbox{ as }.\
Exact Morse index computation for nodal radial solutions of Lane-Emden problems
We consider the semilinear Lane-Emden problem
\begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-\Delta u=
|u|^{p-1}u\qquad \mbox{ in }B u=0\qquad\qquad\qquad\mbox{ on }\partial B
\end{array}\right.\tag{} \end{equation} where is the unit
ball of , , centered at the origin and , with
if and if . Our main result
is to prove that in dimension the Morse index of the least energy
sign-changing radial solution of \eqref{problemAbstract} is exactly
if is sufficiently large. As an intermediate step we compute explicitly the
first eigenvalue of a limit weighted problem in in any dimension
CoQ10 and Aging.
The aging process includes impairment in mitochondrial function, a reduction in anti-oxidant activity, and an increase in oxidative stress, marked by an increase in reactive oxygen species (ROS) production. Oxidative damage to macromolecules including DNA and electron transport proteins likely increases ROS production resulting in further damage. This oxidative theory of cell aging is supported by the fact that diseases associated with the aging process are marked by increased oxidative stress. Coenzyme Q10 (CoQ10) levels fall with aging in the human but this is not seen in all species or all tissues. It is unknown whether lower CoQ10 levels have a part to play in aging and disease or whether it is an inconsequential cellular response to aging. Despite the current lay public interest in supplementing with CoQ10, there is currently not enough evidence to recommend CoQ10 supplementation as an anti-aging anti-oxidant therapy
Asymptotic analysis and sign changing bubble towers for Lane-Emden problems
We consider the semilinear Lane-Emden problem in a smooth bounded domain of
the plane. The aim of the paper is to analyze the asymptotic behavior of sign
changing solutions as the exponent p of the nonlinearity goes to infinity.
Among other results we show, under some symmetry assumptions on the domain,
that the positive and negative parts of a family of symmetric solutions
concentrate at the same point, as p goes to infinity, and the limit profile
looks like a tower of two bubbles given by a superposition of a regular and a
singular solution of the Liouville problem in the plane
Sign changing solutions of Lane Emden problems with interior nodal line and semilinear heat equations
We consider the semilinear Lane Emden problem in a smooth bounded simply
connected domain in the plane, invariant by the action of a finite symmetry
group G. We show that if the orbit of each point in the domain, under the
action of the group G, has cardinality greater than or equal to four then, for
p sufficiently large, there exists a sign changing solution of the problem with
two nodal regions whose nodal line does not touch the boundary of the domain.
This result is proved as a consequence of an analogous result for the
associated parabolic problem
Contextos favorecedores da duplicação de objeto direto pleno de 3a pessoa no espanhol de Montevidéu
IX Congresso Brasileiro de Hispanistas realizado nos dias 22 a 25 agosto 2016O espanhol, segundo Fernández Soriano (1999) e Correa (2006), apresenta a possibilidade de
duplicação do objeto, isto é, de uma correferência, em uma mesma oração, de um clítico e um
sintagma em posição canônica de objeto. Para esses autores, quando o objeto é pronominal, a
duplicação tem um caráter obrigatório, no entanto, quando o objeto é pleno, o objeto indireto
duplicado é uma característica do espanhol de uma maneira geral, enquanto que a duplicação do
objeto direto é recorrente apenas no espanhol falado na região rioplatense. Considerando o espanhol
falado em Montevidéu como recorte, reunimos diferentes abordagens – JAEGGLI (1986), SUÑER
(1988), FERNÁNDEZ SORIANO (1999), GROPPI (2001), CORREA (2006), ORDÓÑEZ (2012),
entre outras – sobre as condições previstas para o contraste entre orações com e sem duplicação de
objeto direto pleno. Para tais condições, há estudiosos que apontam o referente encabeçado pela
preposição a, outros consideram o seu traço semântico de [+/ específico] e há, ainda, autores
segundo os quais essas condições excedem a análise do referente do objeto. Tendo isto em vista,
levantamos os contextos favorecedores da duplicação de objeto direto pleno de 3a pessoa no
espanhol de Montevidéu para testar a hipótese de que essa duplicação ocorrerá em contextos de
complemento [+específico], conforme propõe Suñer (1988, apud Groppi, 2001). Para alcançar tal
objetivo, analisamos cinco entrevistas transcritas do Proyecto para el estudio sociolingüístico del
español de España y América (PRESEEA). Dados iniciais da análise confirmam a hipótese até
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