Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Edir Junior Ferreira Leite"'
Autor:
Edir Junior Ferreira Leite
Publikováno v:
Electronic Journal of Differential Equations, Vol 2017, Iss 206,, Pp 1-20 (2017)
In this article we discuss the existence, uniqueness and regularity of solutions of the following system of coupled semilinear Poisson equations on a smooth bounded domain $\Omega$ in $\mathbb{R}^n$: $$\displaylines{ \mathcal{A}^s u= v^p \quad\te
Externí odkaz:
https://doaj.org/article/aba2466b01ba4d4e82a0be11094bf1f1
Autor:
Edir Junior Ferreira Leite
Publikováno v:
Advanced Nonlinear Studies. 21:697-715
This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators: { ( - Δ ) s u = λ ρ ( x ) | v | α - 1 v in Ω , ( -
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d95f896a987fb961957d5cc91dc02c97
https://doi.org/10.1515/ans-2021-2042
https://doi.org/10.1515/ans-2021-2042
Publikováno v:
Journal of the London Mathematical Society. 101:23-42
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0619ef57881aa77dc17d8054b661700f
https://doi.org/10.1112/jlms.12256
https://doi.org/10.1112/jlms.12256
Publikováno v:
Calculus of Variations and Partial Differential Equations. 59
In this paper we develop a comprehensive study on principal eigenvalues and maximum and comparison principles related to the nonlocal Lane–Emden problem $$\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
Autor:
Edir Junior Ferreira Leite
In this paper we develop a detailed study on maximum and comparison principles for a degenerate elliptic system. Explicit lower bounds for principal eigenvalues of this system in terms of the measure of $\Omega$ are also proved.
Comment: 13 page
Comment: 13 page
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac02e113204173a7070727d973aa8284
Autor:
Edir Junior Ferreira Leite
Publikováno v:
Far East Journal of Applied Mathematics. 97:85-112
In this paper we discuss the existence and regularity of solutions of strongly indefinite systems involving fractional elliptic operators on a smooth bounded domain $\Omega$ in $\R^n$.
Comment: arXiv admin note: text overlap with arXiv:1705.0633
Comment: arXiv admin note: text overlap with arXiv:1705.0633
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::df9a04cdd110f9f7eb00db7598907900
https://doi.org/10.17654/am0970230085
https://doi.org/10.17654/am0970230085
Publikováno v:
Topol. Methods Nonlinear Anal. 53, no. 2 (2019), 407-425
In this paper we discuss the existence, nonexistence and uniqueness of positive viscosity solution for the following coupled system involving fractional Laplace operator on a smooth bounded domain $\Omega$ in $\mathbb R^n$: \[ \begin{cases} (-\Delta)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4e76a16d564c04b8b699894bb516758d
https://projecteuclid.org/euclid.tmna/1554170692
https://projecteuclid.org/euclid.tmna/1554170692
Publikováno v:
Journal of Mathematical Analysis and Applications. 491:124284
We prove the existence of solutions for strongly coupled elliptic systems in non-variational form involving second order uniformly elliptic linear operators in Ω. We also derive classes of systems having a multiplicity of solutions and the uniquenes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9b91d8c1fe356c83b0599e72dac3fdbc
https://doi.org/10.1016/j.jmaa.2020.124284
https://doi.org/10.1016/j.jmaa.2020.124284