@Article{JPDE-24-97, author = {}, title = {Sublinear Elliptic Equation on Fractal Domains}, journal = {Journal of Partial Differential Equations}, year = {2011}, volume = {24}, number = {2}, pages = {97--113}, abstract = {

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  $-Δu=λu-α(x)|u|^{q-1}u-f(x,u)$,  with zero boundary Dirichlet conditions. The results are obtained by using Mountain Pass Lemma and Saddle Point Theorem.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v24.n2.1}, url = {http://global-sci.org/intro/article_detail/jpde/5200.html} }