Large mass boundary condensation patterns in the stationary Keller-Segel system
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Publication:2630911
DOI10.1016/j.jde.2016.05.032zbMath1345.35039arXiv1403.2511OpenAlexW2964132311MaRDI QIDQ2630911
Angela Pistoia, Giusi Vaira, Manuel A. del Pino
Publication date: 25 July 2016
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1403.2511
Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)
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Cites Work
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- Bubbling along boundary geodesics near the second critical exponent
- Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains
- Initiation of slime mold aggregation viewed as an instability
- Concentration on minimal submanifolds for a singularly perturbed Neumann problem
- Radial solutions for the Brezis-Nirenberg problem involving large nonlinearities
- The Toda system and multiple-end solutions of autonomous planar elliptic problems
- Nonlinear aspects of chemotaxis
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Collapsing steady states of the Keller–Segel system
- Concentration on curves for nonlinear Schrödinger Equations
- Stationary Solutions of Chemotaxis Systems
- Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)euin two dimensions
- Boundary concentration phenomena for a singularly perturbed elliptic problem
- Steady states with unbounded mass of the Keller–Segel system