@Article{JPDE-13-193,
author = {Benjin Xuan  and Zuchi Chen },
title = {On the Radial Ground State of <em>p</em>-Laplacian Equation Involving Super-critical or Critical Exponents},
journal = {Journal of Partial Differential Equations},
year = {2000},
volume = {13},
number = {3},
pages = {193--206},
abstract = { In this paper, we consider the existence and uniqueness of the radial ground state to the following p-Laplacian equation involving super-critical or critical exponents: Δ_pu + u^q - |Du|^σ = 0, x ∈ R^n, 2 ≤ p &lt; n, q ≥ [n(p - 1) + p]/(n - p), σ &gt; 0. Applying the shooting argument, the Schauder&#39;s fixed point theorem and some delicate estimates of auxiliary functions, we study the influence of the parameters n, p, q, σ on the existence and uniqueness of the radial ground state to the above p-Laplacian equation.},
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5506.html}
}