Results 81 to 90 of about 8,199,777 (182)

Radial positive solutions for mixed local and nonlocal supercritical Neumann problem [PDF]

In this paper, we establish the existence of positive non-decreasing radial solutions for a nonlinear mixed local and nonlocal Neumann problem in the ball. No growth assumption on the nonlinearity is required.
Temgoua, Remi Yvant, Amundsen, David, Moameni, Abbas   +2 more
core  

Multiplicity and symmetry breaking for positive radial solutions of semilinear elliptic equations modelling MEMS on annular domains

Electronic Journal of Differential Equations, 2005
The use of electrostatic forces to provide actuation is a method of central importance in microelectromechanical system (MEMS) and in nanoelectromechanical systems (NEMS).
Peng Feng, Zhengfang Zhou
doaj  

The positive radial solutions of a class of semilinear elliptic equations

This paper provides a complete classification of the positive radially symmetric solutions for generalized Emden equations of the type \[ \Delta u+r^{-2-\rho} h(r^{\rho} u)=0, \] where \(h(s)>0\) for \(s>0\) and \(h(0)=0\). The essential feature of these equations is that they can be transformed into autonomous equations.
Bandle, Catherine, Marcus, Moshe
openaire   +1 more source

Behavior of positive radial solutions of a quasilinear equation with a weighted Laplacian

Electronic Journal of Differential Equations, 2001
We obtain a classification result for positive radially symmetric solutions of the semilinear equation $$ -mathop{m div}(ilde a(|x|)abla u)=ilde b(|x|)|u|^{delta-1}u, $$ on a punctured ball.
Marta Garcia-Huidobro
doaj  

Positive radial solutions of p-Laplace equations with nonlinear gradient terms on annular domains

Demonstratio Mathematica
This paper discusses the existence of positive radial solutions for the boundary value problem of p-Laplace equation with nonlinear gradient ...
Li Yongxiang, Wang Tingting
doaj   +1 more source

A note on radial nonlinear Schrodinger systems with nonlinearity spatially modulated

Electronic Journal of Differential Equations, 2008
First, we prove that for Schrodinger radial systems the polar angular coordinate must satisfy $heta'= 0$. Then using radial symmetry, we transform the system into a generalized Ermakov-Pinney equation and prove the existence of positive periodic ...
Juan Belmonte-Beitia
doaj  

Existence of positive entire radial solutions to a $(k_1,k_2)$-Hessian systems with convection terms

Electronic Journal of Differential Equations, 2016
In this article, we prove two new results on the existence of positive entire large and bounded radial solutions for nonlinear system with gradient terms $$\displaylines{ S_{k_1}(\lambda (D^{2}u_1) )+b_1(| x| ) | \nabla u_1|^{k_1} =p_1(| x| ) f_1 ...
Dragos-Patru Covei
doaj  

Positive Radial Solutions for Semilinear Biharmonic Equations in Annular Domains

Revista Matemática Complutense, 1993
Summary: We study the existence of positive radial solutions of \(\Delta^ 2u= g(| x|) f(u)\) in an annulus with Dirichlet boundary conditions. We establish that the equation has at least one positive radially symmetric solution on any annulus if \(f\) and \(g\) are nonnegative, \(g\not\equiv 0\) and \(f\) is superlinear at zero and \(+\infty\). We also
openaire   +3 more sources

Positive radial solutions of a quasilinear problem in an exterior domain with vanishing boundary conditions

, 2021
In this work, we study the existence and nonexistence of positive radial solutions for the quasilinear equation $\mathrm{div}(A(|\nabla u|)\nabla u)+\lambda k(|x|)f(u)=0$ in the exterior of a ball with vanishing boundary conditions using an approach ...
Lorca, Sebastián, Guajardo, Juan C., Mahadevan, Rajesh   +2 more
core  

Uniqueness of positive radial solutions for a class of $(p,q)$-Laplacian problems in a ball

Electronic Journal of Qualitative Theory of Differential Equations
We prove the uniqueness of positive radial solution to the $(p,q)$-Laplacian problem \begin{equation*} \left\{ \begin{aligned} -\Delta _{p}u-\Delta _{q}u={}&\lambda f(u)\quad \text{in }\Omega , \\ u={}&0\quad \text{on }\partial \Omega ,% \end{aligned}%
Dang Dinh Hai, Xiao Wang
doaj   +1 more source