On the positive radial solution of P-Laplacian equation with singular coefficients
Nonlinear Analysis: Theory, Methods & Applications, 1998Let \(B\) 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, 2004The 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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Uniqueness of positive radial solutions of in ,
Nonlinear Analysis: Theory, Methods & Applications, 2010openaire +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, 2022Cong Wang, Jiabao Su
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Global bifurcation of positive radial solutions for an elliptic system in reactor dynamics
Computers and Mathematics With Applications, 2013Ruipeng Chen, Ruyun Ma
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Positive radial solutions to classes of singular problems on the exterior domain of a ball
Journal of Mathematical Analysis and Applications, 2016Eun Kyoung Lee +2 more
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Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space
Journal of Functional Analysis, 2013Cristian Bereanu +2 more
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Positive radial solutions for a class of quasilinear boundary value problems in a ball
Nonlinear Analysis: Theory, Methods & Applications, 2012D D Hai
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Radial positive solutions of nonlinear elliptic systems with Neumann boundary conditions
Journal of Mathematical Analysis and Applications, 2016Hongliang Gao, Yanqiong Lu
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