Uniform Hölder bounds for a strongly coupled elliptic system with strong competition

DOI10.1016/j.na.2012.06.017zbMath1250.35091OpenAlexW1964479339MaRDI QIDQ448519

Shan Zhang, Ling Zhou, Zu Han Liu

Publication date: 6 September 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.06.017

zbMATH Keywords

monotonicityblow-upstrong competitionstate of populationsstrongly coupled elliptic systemuniformly Hölder continuous

Mathematics Subject Classification ID

Second-order elliptic systems (35J47) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Blow-up in context of PDEs (35B44)

Related Items (4)

Spatial segregation limit of traveling wave solutions for a fully nonlinear strongly coupled competitive system ⋮ Pattern formations for a strong interacting free boundary problem ⋮ Global a priori bounds for weak solutions of quasilinear elliptic systems with nonlinear boundary condition ⋮ Singularities of the nodal set of segregated configurations

Cites Work

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• Asymptotic estimates for the spatial segregation of competitive systems
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• Uniform Hölder Bounds for Nonlinear Schrödinger Systems with Strong Competition
• Variational problems with two phases and their free boundaries
• Analysis of a Multidimensional Parabolic Population Model with Strong Cross-Diffusion

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