Zobrazeno 1 - 10
of 42
pro vyhledávání: '"D D Hai"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 25740-25753 (2023)
We study the existence of positive solutions for a class of one-dimensional superlinear $ (p, q) $ -Laplacian with Sturm-Liouville boundary conditions. We allow the reaction term to be singular at 0 with infinite semipositone behavior. Our approach d
Externí odkaz:
https://doaj.org/article/f58a6314d0c84325a0746edb38ef7994
Publikováno v:
Opuscula Mathematica, Vol 39, Iss 5, Pp 675-689 (2019)
We prove the existence of positive solutions for the \(p\)-Laplacian problem \[\begin{cases}-(r(t)\phi (u^{\prime }))^{\prime }=\lambda g(t)f(u),& t\in (0,1),\\au(0)-H_{1}(u^{\prime }(0))=0,\\cu(1)+H_{2}(u^{\prime}(1))=0,\end{cases}\] where \(\phi (s
Externí odkaz:
https://doaj.org/article/563a8fef20564dd485850f1f614e9520
Autor:
D. D. Hai
Publikováno v:
Electronic Journal of Differential Equations, Vol 2016, Iss 260,, Pp 1-9 (2016)
We prove the existence of positive solutions of the Sturm-Liouville boundary value problem $$\displaylines{ -(r(t)\phi (u'))'=\lambda g(t)f(t,u),\quad t\in (0,1),\cr au(0)-b\phi ^{-1}(r(0))u'(0)=0,\quad cu(1)+d\phi ^{-1}(r(1))u'(1)=0, }$$ where
Externí odkaz:
https://doaj.org/article/e8b065e0a1334410b9e68497b5613ba8
A uniqueness result for a class of infinite semipositone problems with nonlinear boundary conditions
Publikováno v:
Positivity. 25:1357-1371
We study positive solutions to the two-point boundary value problem: $$\begin{aligned} \begin{matrix} -u''=\lambda h(t) f(u)~;~(0,1) \\ u(0)=0\\ u'(1)+c(u(1))u(1)=0,\end{matrix} \end{aligned}$$ where $$\lambda >0$$ is a parameter, $$h \in C^1((0,1],(
Publikováno v:
Complex Variables and Elliptic Equations. 67:1496-1503
We prove the uniqueness of positive radial solutions to a class of singular p-Laplacian equations in a ball with Dirichlet boundary condition when a parameter is large. The reaction term exhibits i...
Publikováno v:
Communications on Pure & Applied Analysis. 19:241-252
We prove the existence of positive classical solutions for the \begin{document}$ p $\end{document} -Laplacian problem \begin{document}$ \begin{equation*} \left\{ \begin{array}{c} -(r(t)\phi (u^{\prime }))^{\prime } = -\frac{\lambda }{u^{\delta }}+f(t
Publikováno v:
Communications on Pure & Applied Analysis. 19:4655-4666
We prove the existence of positive radial solutions to the problem \begin{document}$ \begin{cases} -\Delta _{p}u = \lambda \ K(|x|)f(u)\ \text{in } |x|>r_{0}, \\ \dfrac{\partial u}{\partial n}+\tilde{c}(u)u = 0\ \text{on }|x| = r_{0},\ \ u(x)\rightar
Publikováno v:
Mediterranean Journal of Mathematics. 19
Autor:
D. D. Hai, Trad Alotaibi
Publikováno v:
Complex Variables and Elliptic Equations. 65:481-488
We prove the existence and nonexistence of positive solutions to the p-Laplacian problem −Δpu=λm(x)f(u) in Ω,u=0 on ∂Ω, where Ω is a bounded domain in Rn with smooth boundary ∂Ω, f(u)∼uq at ∞ for s...