[PDF][PDF] Generic simplicity of eigenvalues for a Dirichlet problem of the bilaplacian operator.

MC Pereira - Electronic Journal of Differential Equations (EJDE) …, 2004 - eudml.org
<noindent Electronic Journal of Differential Equations , Vol . 2004 ( 2004 ) , No . 1 14 , pp . 1
-- 2 1 ISSN : 1 72 - 6691 . Page 1 <noindent Electronic Journal of Differential Equations , Vol …

An eigenvalue problem for the biharmonic operator on ℤ2‐symmetric regions

AL Pereira, MC Pereira - Journal of the London Mathematical …, 2008 - Wiley Online Library
In this work we show that the eigenvalues of the Dirichlet problem for the biharmonic
operator are generically simple in the set of ℤ2‐symmetric regions of ℝn, n⩾ 2, with a …

On the constancy of the extremal function in the embedding theorem of fractional order

NS Ustinov - Functional Analysis and Its Applications, 2020 - Springer
We consider the problem of the constancy of the minimizer in the fractional embedding
theorem for a bounded Lipschitz domain, depending on the domain size. For the family of …

О постоянстве экстремали в теореме вложения дробного порядка

НС Устинов - Функциональный анализ и его приложения, 2020 - mathnet.ru
В работе рассматривается вопрос о постоянстве минимайзера в теореме вложения Hs
(Ω)↩→ Lq (Ω) для липшицевой области Ω в зависимости от размера области. Для …

On some properties of extremals in a variational problem generated by the Sobolev embedding theorem

AI Nazarov, AP Scheglova - Journal of Mathematical Sciences, 2004 - Springer
On Some Properties of Extremals in a Variational Problem Generated by the Sobolev
Embedding Theorem Page 1 Journal of Mathematical Sciences, Vol. 120, No. 2, 2004 ON …

[PDF][PDF] An extension of the method of rapidly oscillating solutions

AL Pereira, MC Pereira - Matemática Contemporânea, 2004 - repositorio.usp.br
1 Introduction Page 1 AN EXTENSION OF THE METHOD OF RAPIDLY OSCILLATING
SOLUTIONS Antônio L. Pereira ∗ Marcone C. Pereira † Abstract In this work we extend a method …

Generic simplicity of the eigenvalues for a supported plate equation

MC Pereira - Nonlinear Analysis: Theory, Methods & Applications, 2007 - Elsevier
In this work, we show that the eigenvalues of the problem are generically simple in the set of
C4 regular regions of Rn, n≥ 2. In fact, we prove that there exists a residual set of regions …

Generic simplicity for the solutions of a nonlinear plate equation

AL Pereira, MC Pereira - Contributions to Nonlinear Analysis: A Tribute to …, 2006 - Springer
Generic Simplicity for the Solutions of a Nonlinear Plate Equation Page 1 Progress in Nonlinear
Differential Equations and Their Applications, Vol. 66, 443–463 c© 2005 Birkhäuser Verlag …

[PDF][PDF] Perturbaçao de contorno do problema de Dirichlet para o Bilaplaciano

MC Pereira - 2004 - ime.usp.br
Neste trabalho apresentamos algumas aplicaçoes da teoria de perturbaçao de fronteira
desenvolvida por D. Henry em [5], provando a simplicidade genérica no conjunto das …

Generic hyperbolicity of stationary solutions for a reaction–diffusion system

DS Rita de Cássia, MC Pereira - Nonlinear Analysis: Theory, Methods & …, 2010 - Elsevier
In this paper, we study the generic hyperbolicity of equilibria of a reaction–diffusion system
with respect to nonlinear terms in the set of C2-functions equipped with the Whitney …