Boundary spikes in the Gierer-Meinhardt system
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Publication:1866583
DOI10.3934/cpaa.2002.1.437zbMath1163.35354OpenAlexW1992561852MaRDI QIDQ1866583
Patricio L. Felmer, Manuel A. del Pino, Michał Kowalczyk
Publication date: 8 April 2003
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2002.1.437
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25)
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Multidimensional boundary layers for a singularly perturbed Neumann problem ⋮ Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system ⋮ On positive solutions generated by semi-strong saturation effect for the Gierer-Meinhardt system ⋮ Construction of multi-peak solutions to the Gierer-Meinhardt system with saturation and source term ⋮ Concentration of solutions for some singularly perturbed mixed problems: existence results ⋮ Unnamed Item ⋮ Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ Concentration of Solutions for Some Singularly Perturbed Neumann Problems ⋮ Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
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