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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
openaire   +1 more source

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
openaire   +3 more sources

Uniqueness of positive radial solutions of in ,

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

Positive radial solutions of critical Hénon equations on the unit ball in ℝN$$ {\mathbb{R}}^N $$

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

Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics

Computers and Mathematics With Applications, 2013
Ruipeng Chen, Ruyun Ma
exaly  

Positive radial solutions to classes of singular problems on the exterior domain of a ball

Journal of Mathematical Analysis and Applications, 2016
Eun Kyoung Lee   +2 more
exaly  

Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space

Journal of Functional Analysis, 2013
Cristian Bereanu   +2 more
exaly  

Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space

Journal of Functional Analysis, 2013
Cristian Bereanu   +2 more
exaly  

Positive radial solutions for a class of quasilinear boundary value problems in a ball

Nonlinear Analysis: Theory, Methods & Applications, 2012
D D Hai
exaly  

Radial positive solutions of nonlinear elliptic systems with Neumann boundary conditions

Journal of Mathematical Analysis and Applications, 2016
Hongliang Gao, Yanqiong Lu
exaly  

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