New beams of global bifurcation points for a reaction-diffusion system with inequalities or inclusions |
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Authors: | Martin Vä th |
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Affiliation: | University of Würzburg, Math. Institut, Am Hubland, D-97074 Würzburg, Germany |
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Abstract: | We consider a reaction-diffusion system of activator-inhibitor or substrate-depletion type which is subject to diffusion-driven instability. We show that an obstacle (e.g. a unilateral membrane) modeled either in terms of inequalities or of inclusions, introduces whole beams of new global bifurcation points of spatially non-homogeneous stationary solutions which lie in parameter domains which are excluded as bifurcation points for the problem without the obstacle. |
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Keywords: | primary, 35K57, 35B32 secondary, 35J60, 47H05, 47J20 |
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