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Positive Radial Solutions for and Related Topics
Applicable Analysis, 1990We study the existence of positive radial solutions of semilinear elliptic equations . By using a variational method and finite balls approach, we prove that there exists a positive radial solution with finite energy on provided that K satisfies the following conditions (i) for small r > 0, β > 0 and α∊(0,n), (ii) K(r) ≥ 0 for large r and and (iii ...
Chang-Shou Lin, Song-Sun Lin
exaly +2 more sources
Positive radial solutions for a quasilinear system
Applicable Analysis, 2006In 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 +2 more
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Positive radial solutions for a class of (p, q) Laplacian in a ball
Positivity, 2022The 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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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
Robert Dalmasso
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On positive radial solutions of quasilinear elliptic equations
Nonlinear Analysis: Theory, Methods & Applications, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Corrêa, F. J. +2 more
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