Year: 2011
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v24.n2.1
Journal of Partial Differential Equations, Vol. 24 (2011), Iss. 2 : pp. 97–113
Published online: 2011-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Self-similar fractal
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