On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities

DOI10.1016/j.na.2016.12.009zbMath1359.35057OpenAlexW2571128481MaRDI QIDQ511407

Tatsuya Watanabe, Pablo Álvarez-Caudevilla

Publication date: 15 February 2017

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

Full work available at URL: http://hdl.handle.net/10016/32310

zbMATH Keywords

variational methodscooperative systemscoexistence states

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Variational methods for elliptic systems (35J50) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Variational approach for a class of cooperative systems
• Variational approach to MEMS model with fringing field
• Some paradoxical effects of the advection on a class of diffusive equations in ecology
• Concentration through large advection
• On the inequality \(\Delta u \geqq f (u)\)
• Strong positivity in \(C(\bar\Omega)\) for elliptic systems
• Metasolutions in cooperative systems
• Asymptotic analysis for some linear eigenvalue problems via gamma-convergence
• Functional analysis, Sobolev spaces and partial differential equations
• The maximum principle for cooperative weakly coupled elliptic systems and some applications
• Elliptic eigenvalue problems and unbounded continua of positive solutions of a semilinear elliptic equations
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• The dynamics of a class of cooperative systems
• Long-time behavior of a cooperative periodic-parabolic system: temporal degeneracy versus spatial degeneracy
• Bifurcation from simple eigenvalues
• On solutions of δu=f(u)
• On MEMS equation with fringing field
• Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction
• On the Asymptotic Distribution of Eigenvalues of some Nonselfadjoint Problems
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Invariant criteria for existence of solutions to second-order quasilinear elliptic equations
• Uniqueness and existence of positive solutions for, weakly coupled general sublinear systems
• Existence and uniqueness of coexistence states for some nonlinear elliptic systems
• Linear Second Order Elliptic Operators
• Qualitative Analysis of a Cooperative Reaction-Diffusion System in a Spatiotemporally Degenerate Environment
• Variational Methods

This page was built for publication: On the existence of coexistence states for an advection-cooperative system with spatial heterogeneities