Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary
From MaRDI portal
Publication:927650
DOI10.1016/j.jde.2007.12.007zbMath1179.35116OpenAlexW2059051325MaRDI QIDQ927650
Manuel Delgado, Antonio Suárez
Publication date: 9 June 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://idus.us.es/xmlui/handle/11441/40154
Stability in context of PDEs (35B35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)
Related Items (8)
Nonlocal elliptic system arising from the growth of cancer stem cells ⋮ Long-time behavior of an angiogenesis model with flux at the tumor boundary ⋮ A stationary population model with an interior interface-type boundary ⋮ Global bifurcation of coexistence states for a prey-predator model with prey-taxis/predator-taxis ⋮ Unilateral global bifurcation for a class of quasilinear elliptic systems and applications ⋮ Coexistence states for a prey-predator model with cross-diffusion ⋮ Analysis of an elliptic system with infinitely many solutions ⋮ An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimum domains for spatial patterns in a class of reaction diffusion equations
- Homogenization of elliptic eigenvalue problems. I
- Steady states of models of microbial growth and competition with chemotaxis
- Nonlinear eigenvalues and global bifurcation application to the search of positive solutions for general Lotka-Volterra reaction diffusion systems with two species
- Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
- Mathematical modeling of tumor-induced angiogenesis
- The maximum principle and the existence of principal eigenvalues for some linear weighted boundary value problems
- Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
- Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
- On the symbiotic Lotka-Volterra model with diffusion and transport effects
- Nondegeneracy and uniqueness for boundary blow-up elliptic problems
- Existence of global solution and nontrivial steady states for a system modeling chemotaxis
- Optimal uniqueness theorems and exact blow-up rates of large solutions
- Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
- Bifurcation from simple eigenvalues
- Positive steady states of an elliptic system arising from biomathematics
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- Existence and stability of steady solutions to nonlinear parabolic‐elliptic systems modelling chemotaxis
- Remarks on sublinear elliptic equations
- Spatial Ecology via Reaction‐Diffusion Equations
- Coexistence with Chemotaxis
- Positive Solutions of a System Arising from Angiogenesis
- Properties of the principal eigenvalues of a general class of non-classical mixed boundary value problems.
- Existence and structure of the set of positive solutions of a general class of sublinear elliptic non-classical mixed boundary value problems.
This page was built for publication: Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary