Zobrazeno 1 - 10
of 628
pro vyhledávání: '"radial solution"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 6, Pp 15190-15201 (2024)
We consider semilinear elliptic equations of the form $ \Delta u + f(|x|, u) = 0 $ on $ {\mathbb{R}}^{N} $ with $ f(|x|, u) = q(|x|)g(u) $. These type of equations arise in various problems in applied mathematics, and particularly in the study of pop
Externí odkaz:
https://doaj.org/article/24eeffc4637c4d04be78942e57614dea
Autor:
Joseph Iaia
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 06,, Pp 1-14 (2024)
Externí odkaz:
https://doaj.org/article/29e037763d5a4848bf89968244e8f7dc
Autor:
Yongxiang Li, Pengbo Li
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-11 (2023)
Abstract This paper studies the existence of radial solutions of the boundary value problem of p-Laplace equation with gradient term { − Δ p u = K ( | x | ) f ( | x | , u , | ∇ u | ) , x ∈ Ω , ∂ u ∂ n = 0 , x ∈ ∂ Ω , lim | x | →
Externí odkaz:
https://doaj.org/article/a7fe415956b945a98e2efa783f9597ed
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 6, Pp 1-45 (2023)
We define rigorously a solution to the fourth-order total variation flow equation in $ \mathbb{R}^n $. If $ n\geq3 $, it can be understood as a gradient flow of the total variation energy in $ D^{-1} $, the dual space of $ D^1_0 $, which is the compl
Externí odkaz:
https://doaj.org/article/8e8a0fb17087425da43f4775c35d37c8
Autor:
Zhilin Yang
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 12, Pp 20959-20970 (2023)
This paper deals with the existence and multiplicity of convex radial solutions for the Monge-Amp$ \grave{\text e} $re equation involving the gradient $ \nabla u $: $ \begin{cases} \det (D^2u) = f(|x|, -u, |\nabla u|), x\in B, \\ u|_{\partial B} =
Externí odkaz:
https://doaj.org/article/15fd36fbc86640d58faca88571c327a5
Autor:
Alfonso Castro, Jon Jacobsen
Publikováno v:
Electronic Journal of Differential Equations, Vol Special Issues, Iss 02, Pp 87-100 (2023)
Externí odkaz:
https://doaj.org/article/0d343a99f45f4ccaa111f56a911ca9fa
Autor:
Yongxiang Li, Yanyan Wang
Publikováno v:
Axioms, Vol 13, Iss 6, p 383 (2024)
This paper concerns with the existence of radial solutions of the biharmonic elliptic equation ▵2u=f(|x|,u,|∇u|,▵u) in an annular domain Ω={x∈RN:r1<|x|
Externí odkaz:
https://doaj.org/article/b3d0f121effa4c4eb3db161058b30541
Autor:
Dan Wang, Yongxiang Li
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 21929-21942 (2023)
This article discusses the existence and uniqueness of radial solution for the elliptic equation system $ \left \{ \begin{array}{ll} -\triangle u = f(|x|, \ u, \ v, \ |\nabla u|), \; \; x\in \Omega, \\[10pt] -\triangle v = g(|x|, \ u, \ v, \ |\nab
Externí odkaz:
https://doaj.org/article/b14d6f5e3cea40188f6a58d96beb375b
Publikováno v:
Electronic Research Archive, Vol 31, Iss 5, Pp 2472-2482 (2023)
This paper consider that the following semilinear elliptic equation $ \begin{equation} \left\{ \begin{array}{ll} -\Delta u = u^{q(x)-1}, &\ \ {\mbox{in}}\ \ B_1,\\ u>0, &\ \ {\mbox{in}}\ \ B_1,\\ u = 0, &\ \ {\mbox{in}}\ \ \partial B_1, \end{array
Externí odkaz:
https://doaj.org/article/b751ec87adcd4e28882c29793d427084