A Campanato-type discrete iteration scheme proves local Holder continuity for almost harmonic maps with L^q tension fields and related systems under the condition that div Omega is in L^q, without using H^1-BMO duality or moving frames.
Models Methods Appl
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For the given chemotaxis model, uniform persistence holds when m ≥ 1; the positive equilibrium is linearly stable for χ0 below a parameter-dependent threshold χ*(u*) and unstable above it, with exponential convergence under stated conditions.
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A Classical Elliptic Regularity Approach to Almost Harmonic Maps and Related Systems
A Campanato-type discrete iteration scheme proves local Holder continuity for almost harmonic maps with L^q tension fields and related systems under the condition that div Omega is in L^q, without using H^1-BMO duality or moving frames.
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Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
For the given chemotaxis model, uniform persistence holds when m ≥ 1; the positive equilibrium is linearly stable for χ0 below a parameter-dependent threshold χ*(u*) and unstable above it, with exponential convergence under stated conditions.