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COEXISTENCE IN THE COMPETITION MODEL WITH DIFFUSION
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UNSPECIFIED (1994) COEXISTENCE IN THE COMPETITION MODEL WITH DIFFUSION. JOURNAL OF DIFFERENTIAL EQUATIONS, 107 (1). pp. 96-139. ISSN 0022-0396.
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Abstract
In this paper we study positive steady-state solutions of a reaction-diffusion model, the Lotka-Volterra competition system, under homogeneous Dirichlet boundary conditions. We extend previous results on existence and nonuniqueness of coexistence solutions to larger areas of parameter space. The techniques we use are multiparameter bifurcation theory, variational inequalities, and elliptic theory. (C) 1994 Academic Press Inc.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF DIFFERENTIAL EQUATIONS | ||||
Publisher: | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | ||||
ISSN: | 0022-0396 | ||||
Official Date: | January 1994 | ||||
Dates: |
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Volume: | 107 | ||||
Number: | 1 | ||||
Number of Pages: | 44 | ||||
Page Range: | pp. 96-139 | ||||
Publication Status: | Published |
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