@Article{JPDE-8-261,
author = {Cao , Daomin},
title = {Positive Solution of a Semilinear Elliptic Equation on <em>R<sup>N</sup></em>},
journal = {Journal of Partial Differential Equations},
year = {1995},
volume = {8},
number = {3},
pages = {261--272},
abstract = { In this paper, we obtain the existence of positive solution of {-Δu = b(x)(u - λ)^p_+,\qquad x ∈ R^N λ &gt; 0, |∇ u| ∈ L² (R^N),\qquad u ∈ L\frac{2N}{N-2} (R^N) under the assumptions that 1 &lt; p &lt; \frac{N+2}{N-2}, N ≥ 3, b(x) satisfies b(x) ∈ C(R^N), b(x) &gt; 0 in R^N b(x) →_{|x|→∞}b^∞ and b(x) &gt; \frac{4}{p+3}b^∞ for x ∈ R^N },
issn = {2079-732X},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jpde/5658.html}
}