Existence of semi-nodal solution for a class of Fitzhugh-Nagumo type system

DOI10.1007/s00605-016-0925-xzbMath1353.35155OpenAlexW2396599195MaRDI QIDQ331059

Giovany M. Figueiredo, Alânnio B. Nobrega, Claudianor Oliveira Alves

Publication date: 26 October 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-016-0925-x

zbMATH Keywords

variational methodselliptic systemnodal solutionFitzHugh-Nagumo system

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Second-order elliptic systems (35J47)

Cites Work

• Clustered spots in the FitzHugh-Nagumo system
• Partial symmetry of least energy nodal solutions to some variational problems
• Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry
• Interior peak solutions for an elliptic system of FitzHugh-Nagumo type
• Nodal solutions to superlinear biharmonic equations via decomposition in dual cones
• Bifurcation and stability of stationary solutions of the Fitz-Hugh-Nagumo equations
• A sign-changing solution for a superlinear Dirichlet problem
• Nucleation in the FitzHugh-Nagumo system: Interface-spike solutions
• On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type
• A minimization problem associated with elliptic systems of FitzHugh--Nagumo type
• Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
• A variational approach for standing waves of Fitzhugh-Nagumo type systems
• Three nodal solutions of singularly perturbed elliptic equations on domains without topology
• Sign Changing Solutions of Superlinear Schrödinger Equations
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Multipeak solutions for the Neumann problem of an elliptic system of Fitzhugh–Nagumo type

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