@Article{JPDE-24-97,
author = {Zhenya He },
title = {Sublinear Elliptic Equation on Fractal Domains},
journal = {Journal of Partial Differential Equations},
year = {2011},
volume = {24},
number = {2},
pages = {97--113},
abstract = {<p>This paper investigates sub-linear elliptic equations on self-similar fractal sets. With an appropriately defined Laplacian, we obtain the existence of nontrivial solutions of sub-linear elliptic equations&nbsp; $-Δu=λu-α(x)|u|^{q-1}u-f(x,u)$, &nbsp;with zero boundary Dirichlet conditions. The results are obtained by using Mountain Pass Lemma and Saddle Point Theorem.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v24.n2.1},
url = {http://global-sci.org/intro/article_detail/jpde/5200.html}
}