On nonlinear perturbations of a periodic integrodifferential Kirchhoff equation with critical exponential growth

DOI10.1007/s00033-023-02117-3zbMath1525.35114OpenAlexW4387666048MaRDI QIDQ6054932

Eudes Barboza, Gilson M. de Carvalho, Yane Lísley Araújo

Publication date: 25 October 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-023-02117-3

zbMATH Keywords

existencevariational methodsKirchhoff equationsintegrodifferential operators

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

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• Hitchhiker's guide to the fractional Sobolev spaces
• Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity
• \(p\)-fractional Kirchhoff equations involving critical nonlinearities
• Nonlinear scalar field equations. I: Existence of a ground state
• Quasilinear asymptotically periodic elliptic equations with critical growth
• Symétrie et compacité dans les espaces de Sobolev
• Critical point theory and Hamiltonian systems
• Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
• Fractional \(p\)-Laplacian equations with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
• Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
• A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one
• On critical cases of Sobolev's inequalities
• Existence of solutions for a fractional Choquard-type equation in \(\mathbb{R}\) with critical exponential growth
• Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities
• Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension
• Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
• A critical Kirchhoff type problem involving a nonlocal operator
• On nonlinear perturbations of a periodic fractional Schrödinger equation with critical exponential growth
• Critical growth problems for ½-Laplacian in ℝ
• A multiplicity result for a fractional Kirchhoff equation in ℝN with a general nonlinearity
• Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality
• Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
• Some remarks on non local elliptic and parabolic problems
• Existence of bound and ground states for a class of Kirchhoff‐Schrödinger equations involving critical Trudinger‐Moser growth
• On nonlinear perturbations of a periodic integrodifferential equation with critical exponential growth
• On an indefinite nonhomogeneous equation with critical exponential growth

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