A minimization problem associated with elliptic systems of FitzHugh--Nagumo type
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Publication:1888409
DOI10.1016/j.anihpc.2003.02.001zbMath1110.35019OpenAlexW2058421769MaRDI QIDQ1888409
Publication date: 23 November 2004
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_2_237_0
Singular perturbations in context of PDEs (35B25) Existence theories for free problems in two or more independent variables (49J10) Variational methods for elliptic systems (35J50)
Related Items (22)
Fitzhugh-Nagumo system with zero mass and critical growth ⋮ Existence of solution for a class of activator–inhibitor systems ⋮ Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry ⋮ Interior peak solutions for an elliptic system of FitzHugh-Nagumo type ⋮ Existence of semi-nodal solution for a class of Fitzhugh-Nagumo type system ⋮ The sub-supersolution method for the Fitzhugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ Unnamed Item ⋮ A heteroclinic solution to a variational problem corresponding to FitzHugh-Nagumo type reaction-diffusion system with heterogeneity ⋮ Front propagation in both directions and coexistence of traveling fronts and pulses ⋮ Existence of solutions for critical Fractional FitzHugh–Nagumo type systems ⋮ Cluster solutions for the Fitzhugh-Nagumo system with Neumann boundary conditions ⋮ Existence of interior multi-peak solutions in high-dimensional FitzHugh-Nagumo system ⋮ A variational approach for standing waves of Fitzhugh-Nagumo type systems ⋮ Multiple front standing waves in the FitzHugh-Nagumo equations ⋮ A Numerical Verification Method for a System of FitzHugh-Nagumo Type ⋮ Traveling pulse solutions to Fitzhugh-Nagumo equations ⋮ On a variational problem arising from the three-component FitzHugh-Nagumo type reaction-diffusion systems ⋮ Standing pulse solutions to FitzHugh-Nagumo equations ⋮ Nucleation in the FitzHugh-Nagumo system: Interface-spike solutions ⋮ Clustered spots in the FitzHugh-Nagumo system ⋮ On a phase field problem driven by interface area and interface curvature ⋮ On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type
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