Existence of solutions for critical Fractional FitzHugh–Nagumo type systems (Q6093909)

scientific article; zbMATH DE number 7747267

Language	Label	Description	Also known as
English	Existence of solutions for critical Fractional FitzHugh–Nagumo type systems	scientific article; zbMATH DE number 7747267

Statements

instance of

scholarly article

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title

Existence of solutions for critical Fractional FitzHugh–Nagumo type systems (English)

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author

César E. Torres Ledesma

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published in

Mathematische Nachrichten

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publication date

9 October 2023

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zbMATH Keywords

fractional Laplacian

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fractional FitzHugh-Nagumo type systems

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variational method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1002/mana.202000012

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cites work

Ground state solutions for fractional scalar field equations under a general critical nonlinearity

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Existence and concentration of solution for a class of fractional elliptic equation in $\mathbb {R}^N$ via penalization method

0 references

Bifurcation properties for a class of fractional Laplacian equations in

0 references

Existence of solutions for a class of fractional elliptic problems on exterior domains

0 references

Fractional elliptic problem in exterior domains with nonlocal Neumann condition

0 references

Existence and multiplicity of solutions for a non-linear Schrödinger equation with non-local regional diffusion

0 references

EXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALS

0 references

Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

0 references

Zero mass case for a fractional Berestycki-Lions-type problem

0 references

Elliptic problems involving the fractional Laplacian in $\mathbb R^N$

0 references

Une méthode locale pour l'existence de solutions positives de problèmes semi-linéaires elliptiques dans $R^ n$.

0 references

Nonlinear scalar field equations. I: Existence of a ground state

0 references

Nonlocal diffusion and applications

0 references

A variational approach for standing waves of Fitzhugh-Nagumo type systems

0 references

A minimization problem associated with elliptic systems of FitzHugh--Nagumo type

0 references

Concentrating standing waves for the fractional nonlinear Schrödinger equation

0 references

A Maximum Principle for an Elliptic System and Applications to Semilinear Problems

0 references

Hitchhiker's guide to the fractional Sobolev spaces

0 references

Fractional Elliptic Problems with Critical Growth in the Whole of ℝn

0 references

Existence and symmetry results for a Schr\"odinger type problem involving the fractional Laplacian

0 references

On the variational principle

0 references

Ground states and concentration phenomena for the fractional Schrödinger equation

0 references

Existence of weak solutions for non-local fractional problems via Morse theory

0 references

Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

0 references

Radial symmetry of ground states for a regional fractional nonlinear Schrödinger equation

0 references

Non-linear Schrödinger equation with non-local regional diffusion

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Nonlinear scalar field equations in $\mathbb{R}^N$: Mountain pass and symmetric mountain pass approaches

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Standing Wave Solutions for a System Derived from the Fitzhugh–Nagumo Equations for Nerve Conduction

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Stationary Wave Solutions of a System of Reaction-Diffusion Equations Derived from the FitzHugh–Nagumo Equations

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Symétrie et compacité dans les espaces de Sobolev

0 references

Variational Methods for Nonlocal Fractional Problems

0 references

Ground state solutions of scalar field fractional Schrödinger equations

0 references

On stable nonconstant stationary solutions and mesoscopic patterns for FitzHugh-Nagumo equations in higher dimensions.

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On critical cases of Sobolev's inequalities

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A positive solution on $\mathbb{R}^N$ to a system of elliptic equations of FitzHugh-Nagumo type

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Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN

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Mountain pass solutions for non-local elliptic operators

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Variational methods for non-local operators of elliptic type

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On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type

0 references

Nonlinear Dirichlet problem with non local regional diffusion

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Symmetric ground state solution for a non-linear Schrödinger equation with non-local regional diffusion

0 references

Multiplicity and symmetry results for a nonlinear Schrödinger equation with non‐local regional diffusion

0 references

A critical nonlinear elliptic equation with nonlocal regional diffusion

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Multiplicity of solutions for a class of nonlocal regional elliptic equations

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Clustered spots in the FitzHugh-Nagumo system

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Standing waves in the FitzHugh-Nagumo system and a problem in combinatorial geometry

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Identifiers

zbMATH Open document ID

1523.35291

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DOI

10.1002/mana.202000012

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6093909