Results 271 to 280 of about 70,966 (297)

Positive radial solutions for a quasilinear system

Applicable Analysis, 2006
In this article, general existence theorems are presented for a quasilinear system We obtain some existence theorems by a simple application of the Schauder fixed-point theorem and degree theory. We do not require conditions of the nonlinearity f, g at zero or at infinity, and we do not need upper bounds for p, q involving the dimension n. We study the
Haishen Lü, Donal O'Regan, Ravi P. Agarwal   +2 more
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Positive radial solutions for a class of (p, q) Laplacian in a ball

Positivity, 2022
The authors are concerned with the Dirichlet problem \[ \begin{cases} -\Delta_pu-\Delta_qu=\lambda f(u) \text{ in }\Omega, \\ u=0 \text{ on }\Omega, \end{cases} \] where \(\Delta_ru=\operatorname{div}(\vert\nabla u\vert^{r-2}\nabla u)\) is the \(p\)-Laplacian, \(\Omega\) is the unit open ball, and \(p>q>1\).
Hai, D. D., Shivaji, R., Wang, X.
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On positive radial solutions of quasilinear elliptic equations

Nonlinear Analysis: Theory, Methods & Applications, 2003
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Corrêa, F. J., Goncalves, J. V., Melo, A. L.   +2 more
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Positive radial solutions for p-Laplacian systems

Aequationes mathematicae, 2008
The paper deals with the existence of positive radial solutions for the p-Laplacian system div(|∇ u i | p-2∇ u i )  +  f i
Donal O’Regan, Haiyan Wang
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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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Radial limits of positive solutions to the Darboux equation

Journal of Mathematical Sciences, 2009
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Structure of positive radial solutions of Matukuma's equation

Japan Journal of Industrial and Applied Mathematics, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Positive radial solutions for quasilinear systems in an annulus

Nonlinear Analysis: Theory, Methods & Applications, 2005
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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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