@Article{JPDE-26-1,
author = {Wang, Chong},
title = {Existence of Nontrivial Weak Solutions to Quasi-linear Elliptic Equations with Exponential Growth},
journal = {Journal of Partial Differential Equations},
year = {2013},
volume = {26},
number = {1},
pages = {25--38},
abstract = {<p>In this paper, we study the existence of nontrivial weak solutions to the following quasi-linear elliptic equations $$-Δ_nu+V(x)|u|^{n-2}u=\frac{f(x,u)}{|x|^β}, x ∈ R^n(n ≥ 2),$$ where $-Δ_nu=-div(|∇u|^{n-2}∇u), 0 ≤β &lt; n, V:R^n→R$ is a continuous function, f (x,u) is continuous in $R^n×R$ and behaves like $e^{αu^{\frac{n}{n-1}}}$ as $u→+∞$.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v26.n1.3},
url = {https://global-sci.com/article/88318/existence-of-nontrivial-weak-solutions-to-quasi-linear-elliptic-equations-with-exponential-growth}
}