@Article{JPDE-15-4,
author = {},
title = {Existence and Uniqueness of Radial Solutions of Quasilinear Equations in a Ball},
journal = {Journal of Partial Differential Equations},
year = {2002},
volume = {15},
number = {4},
pages = {39--48},
abstract = { We consider the boundary value problem for the quasilinear equation div(A(|Du|)Du) + f(u) = 0, u > 0, x ∈ B_R(0), u|_{∂B_R(0)} = 0, where A and f are continuous functions in (0, ∞) and f is positive in (0, 1), f(1) = 0. We prove that (1) if f is strictly decreasing, the problem has a unique classical radial solution for any real number R > 0; (2) if f is not monotonous, the problem has at least one classical radial solution for some R > 0 large enough.},
issn = {2079-732X},
doi = {https://doi.org/2002-JPDE-5460},
url = {https://global-sci.com/article/88627/existence-and-uniqueness-of-radial-solutions-of-quasilinear-equations-in-a-ball}
}