WASET

	%0 Journal Article
	%A Hailong Zhu and  Zhaoxiang Li
	%D 2010
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 43, 2010
	%T A Numerical Algorithm for Positive Solutions of Concave and Convex Elliptic Equation on R2
	%U https://publications.waset.org/pdf/10097
	%V 43
	%X In this paper we investigate numerically positive solutions of the equation -&Delta;u = &lambda;uq+up with Dirichlet boundary condition in a boundary domain ╬&reg; for &lambda; &gt; 0 and 0 &lt; q &lt; 1 &lt; p &lt; 2*, we will compute and visualize the range of &lambda;, this problem achieves a numerical solution.

	%P 870 - 873