Results 231 to 240 of about 34,802 (260)

Existence of positive radial solutions for the n-dimensional p-Laplacian

Nonlinear Analysis: Theory, Methods & Applications, 2001
The authors study the following Dirichlet problem on the unit ball \(B_1\) centered at the origin of \(\mathbb{R}^n\): \[ -\Delta_p u=q(|x|)f(u), \quad x\in B_1, \qquad u(x)=0, \quad x\in\partial B_1, \] where the functions \(q:(0,1)\to \mathbb{R}_+\) and \(f:\mathbb{R}\to \mathbb{R}\) are continuous, and \(\Delta_p\), \(p>1\), denotes the \(p ...
Ercole, G., Zumpano, A.
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Structure of positive radial solutions of Matukuma's equation

Japan Journal of Industrial and Applied Mathematics, 1991
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Positive radial solutions for quasilinear systems in an annulus

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Radial symmetry of positive solutions to nonlinear polyharmonic Dirichlet problems

Journal für die reine und angewandte Mathematik (Crelles Journal), 2008
The authors consider the semilinear polyharmonic Dirichlet problem \[ \begin{aligned} (-\Delta)^m u= f(u)\quad &\text{in }B,\\ u= {\partial u\over\partial r}=\cdots= {\partial^{m-1} u\over\partial r^{m-1}}= 0\quad &\text{on }\partial B.\end{aligned} \] Here \(B\) is the unit ball in \(\mathbb{R}^n\), \(r= |x|\) is the radial variable and \(f: [0,\infty)
BERCHIO, ELVISE, GAZZOLA, FILIPPO, T. WETH   +2 more
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Positive solutions, positive radial solutions and uniqueness results for some nonlocal elliptic problems

Journal of Elliptic and Parabolic Equations
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Chahinez Bellamouchi, Elmehdi Zaouche
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Positive Radial Solutions of Some Nonlinear Partial Differential Equations

Mathematische Nachrichten, 1997
AbstractWe consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p‐Laplacian.
Dang, Hai, Manásevich, Raúl, Schmitt, Klaus   +2 more
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Multiple Positive Radial Solutions of Elliptic Equations in an Exterior Domain

Monatshefte für Mathematik, 2006
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Han, Guodong, Wang, Jianjun
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On the positive radial solution of P-Laplacian equation with singular coefficients

Nonlinear Analysis: Theory, Methods & Applications, 1998
Let \(B\) be the unit ball centered at the origin in \(\mathbb{R}^n\). We consider the Dirichlet problem for the \(p\)-Laplacian equation \[ \begin{cases} -\text{div}(|Du|^{p- 2}Du)= a(|x|)|x|^r(1- |x|)^{-\lambda} u^\beta\quad &\text{in }B,\\ u>0\quad &\text{in }B,\\ u= 0\quad &\text{on }\partial B,\end{cases} \] where \(1 p-1\), \(a:[0,1]\to [0 ...
Xuan, Benjin, Chen, Zuchi
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Existence and uniqueness of positive radial solutions for the Lane–Emden system

Nonlinear Analysis: Theory, Methods & Applications, 2004
The author studies the existence and the uniqueness of positive radial solutions of the semilinear elliptic Lane-Emden-type system with homogeneous Dirichlet data \[ \begin{cases} \Delta u+v^q=0 & \text{in } B_R, \\ \Delta v+u^p=0 & \text{in } B_R, \\ u=v=0 & \text{on } \partial B_R, \end{cases} \] where \(B_R\) denotes the open ball of radius \(R\) at
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Structure of positive radial solutions for semilinear Dirichlet problems on a ball.

Funkcialaj Ekvacioj, 2002
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Myogahara, Hitoshi, Yanagida, Eiji, Yotsutani, Shoji   +2 more
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