Zobrazeno 1 - 10
of 14 421
pro vyhledávání: '"positive solutions"'
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
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-14 (2024)
Abstract In this paper, a ( p , q ) $\left ( p,q\right ) $ -fractional nonlinear difference equation of different orders is considered and discussed. With the help of ( p , q ) $\left ( p,q\right ) $ -calculus for integrals and derivatives properties
Externí odkaz:
https://doaj.org/article/c988f45802cd47adbfd1fb58a6bac9ea
Autor:
Bandar Alreshidi, Dang Dinh Hai
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2024, Iss 32, Pp 1-5 (2024)
We show the existence of a positive solution to the $(p,q)$-Laplacian problem \begin{equation*} \begin{cases} -\Delta _{p}u-a\Delta _{q}u=\lambda f(u)-h(x)\quad \text{in }\Omega, \\ u=0\quad \text{on }\partial \Omega, \end{cases} \end{equation*} for
Externí odkaz:
https://doaj.org/article/9ebae7b498ef428e85b9066ec893886c