Zobrazeno 1 - 10
of 14 544
pro vyhledávání: '"positive solutions."'
Autor:
Huang Lanxin, Su Jiabao
Publikováno v:
Demonstratio Mathematica, Vol 57, Iss 1, Pp 305-330 (2024)
This article is concerned with the following Kirchhoff equation: −a+b∫R3∣∇u∣2dxΔu=g(u)+h(x)inR3,-\left(a+b\mathop{\int }\limits_{{{\mathbb{R}}}^{3}}{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=g\left(u)+h\left(x)\hspace{1em}{\rm{in}}\hspace{
Externí odkaz:
https://doaj.org/article/89ef9c02437546239d291b90582d722a
Autor:
Shen Zifei, Yang Ning
Publikováno v:
Advances in Nonlinear Analysis, Vol 13, Iss 1, Pp 441-476 (2024)
For the following quasilinear Choquard-type equation: −Δu−Δ(u2)u+V(x)u=(Iμ*∣u∣p)∣u∣p−2u,x∈RN,-\Delta u-\Delta \left({u}^{2})u+V\left(x)u=\left({I}_{\mu }* {| u| }^{p}){| u| }^{p-2}u,\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥3,
Externí odkaz:
https://doaj.org/article/1c9182b7c25e4d729aaec3dd407bde27
Autor:
Tomas Godoy
Publikováno v:
Opuscula Mathematica, Vol 44, Iss 6, Pp 827-851 (2024)
Consider the problem \(-\Delta u=\lambda f(\cdot, u) \) in \(\Omega\), \(u=0\) on \(\partial\Omega\), \(u\gt 0\) in \(\Omega\), where \(\Omega\) is a bounded domain in \(\mathbb{R}^{n}\) with \(C^{2}\) boundary when \(n\geq2\), \(\lambda\gt 0\), and
Externí odkaz:
https://doaj.org/article/8f7442b26a054ec7b93fc8db85143969
Autor:
Uriel Kaufmann, Leandro Milne
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 54, Pp 1-14 (2024)
Let $\Omega=(a,b)\subset\mathbb{R}$, $0\leq m,n\in L^{1}(\Omega)$, $\lambda,\mu>0$ be real parameters, and $\phi: \mathbb{R}\rightarrow\mathbb{R}$ be an odd increasing homeomorphism. In this paper we consider the existence of positive solutions for p
Externí odkaz:
https://doaj.org/article/d035fca149064046bc078e290d899d7f
Autor:
Lijuan Yang, Ruyun Ma
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 45, Pp 1-19 (2024)
We are concerned with the principal eigenvalue of \begin{equation*} \begin{cases} -\Delta_p u= \lambda\theta_1\varphi_p(v), &x\in \Omega,\\ -\Delta_p v= \lambda\theta_2\varphi_p(u), &x\in \Omega,\\ u=0=v,\ &x\in\partial\Omega \end{cases} \tag{P}
Externí odkaz:
https://doaj.org/article/49e86df053dd4901942323972733d66f
Autor:
Aleksejs Antoņuks, Sergey Smirnov
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 41, Pp 1-17 (2024)
The aim of this paper is to estimate an interval of the existence of positive solutions for a boundary value problem for the system of three nonlinear second-order ordinary differential equations. Krasnosel'skiĭ–Precup fixed point theorem is used
Externí odkaz:
https://doaj.org/article/bc32c08e3da24425885e09dc2ea80f6b