Zobrazeno 1 - 10
of 138
pro vyhledávání: '"sub and super solutions."'
Autor:
Zhongzi Zhao, Meng Yan
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 20654-20664 (2023)
We are concerned with the problem with Minkowski-curvature operator on an exterior domain $ \begin{align} \left\{\begin{array}{ll} -\text{div}\Big(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\Big) = \lambda K(|x|)\frac{f(u)}{u^\gamma}\ \ \ &\text{in}\
Externí odkaz:
https://doaj.org/article/ecd523d94fb94c10947789953a3f6c32
Autor:
Catherine Bandle
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 42, Iss 3-4, Pp 197-213 (2021)
Semilinear elliptic problems with solutions blowing up at the boundary are considered. The effect of a Hardy potential with a boundary singularity is discussed. Positive potentials reinforce the solution to blow up whereas negative prevent it. For t
Externí odkaz:
https://doaj.org/article/db2b8a4cb79f461387efdd369c7501ad
Autor:
Obersnel Franco, Omari Pierpaolo
Publikováno v:
Open Mathematics, Vol 18, Iss 1, Pp 1185-1205 (2020)
This paper focuses on the existence and the multiplicity of classical radially symmetric solutions of the mean curvature problem:−div∇v1+|∇v|2=f(x,v,∇v)inΩ,a0v+a1∂v∂ν=0on∂Ω,\left\{\begin{array}{ll}-\text{div}\left(\frac{\nabla v}{\sq
Externí odkaz:
https://doaj.org/article/42281bab45b0433ea88fac3ed950a594
Autor:
Tomas Godoy, Alfredo Guerin
Publikováno v:
Electronic Journal of Differential Equations, Vol 2019, Iss 49,, Pp 1-32 (2019)
We consider the problem $$\displaylines{ -\Delta u=au^{-\alpha}+f(\lambda,\cdot,u) \quad\text{in }\Omega,\cr u=0\quad \text{on }\partial\Omega, \cr u>0 \quad \text{in }\Omega, }$$ where $\Omega$ is a bounded domain in $\mathbb{R}^n$, $\lambda\geq
Externí odkaz:
https://doaj.org/article/c8064ca66c244847b8bbbbfe48d2d752
Autor:
Songyue Yu, Baoqiang Yan
Publikováno v:
Mathematics, Vol 10, Iss 12, p 2070 (2022)
In this paper, a special class of boundary value problems, −▵u=λuq+ur,inΩ,u>0, inΩ,n·∇u+g(u)u=0,on∂Ω, where 0
Externí odkaz:
https://doaj.org/article/7538638f3be741949800bab550ca70f0
Publikováno v:
Electronic Journal of Differential Equations, Vol 2018, Iss 193,, Pp 1-13 (2018)
We consider the problem $$\displaylines{ -u'' =h(t)\big(\frac{au-u^{2}-c}{u^\alpha}\big) , \quad t \in (0, 1),\cr u(0) = 0, \quad u'(1)+g(u(1))=0, }$$ where $a>0$, $c\geq 0$, $\alpha \in (0, 1)$, $h{:}(0, 1] \to (0, \infty)$ is a continuous func
Externí odkaz:
https://doaj.org/article/fd9881c34dc44a7cb51a41dea5827939
Autor:
Takase, H., Sleeman, B. D.
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2000 Feb 01. 456(1994), 365-386.
Externí odkaz:
https://www.jstor.org/stable/2665586
Akademický článek
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Publikováno v:
Transactions of the American Mathematical Society, 1997 Oct 01. 349(10), 4231-4249.
Externí odkaz:
https://www.jstor.org/stable/2155582
Publikováno v:
Advances in Nonlinear Analysis, Vol 2, Iss 1, Pp 1-41 (2013)
In this paper, we investigate the following quasilinear elliptic and singular system :
Externí odkaz:
https://doaj.org/article/95481adec70b407d886c1e2e9576dc75