Results 161 to 170 of about 8,199,777 (182)

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
openaire   +1 more source

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
openaire   +4 more sources

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
openaire   +1 more source

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
openaire   +2 more sources

Uniqueness of positive radial solutions of in ,

Nonlinear Analysis: Theory, Methods & Applications, 2010
openaire   +1 more source

Existence of positive radial solutions for a semipositone elliptic equation

Journal of Mathematical Analysis and Applications, 2020
Ryuji Kajikiya
exaly  

Positive radial solutions of critical Hénon equations on the unit ball in

Mathematical Methods in the Applied Sciences, 2022
Cong Wang, Jiabao Su
exaly  

Positive radial solutions to classes of nonlinear elliptic systems on the exterior of a ball

Journal of Mathematical Analysis and Applications, 2020
Byungjae Son
exaly  

Existence of entire explosive positive radial solutions for a class of quasilinear elliptic systems

Journal of Mathematical Analysis and Applications, 2003
Zuodong Yang
exaly  

Existence and uniqueness of positive radial solutions for a class of quasilinear elliptic equations

Applicable Analysis, 1992
Zongming Guo
exaly