Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory (Q6151836)

scientific article; zbMATH DE number 7803274

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English	Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory	scientific article; zbMATH DE number 7803274

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instance of

scholarly article

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title

Infinitely many solutions to a Kirchhoff-type equation involving logarithmic nonlinearity via Morse's theory (English)

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Boletín de la Sociedad Matemática Mexicana. Third Series

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publication date

12 February 2024

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zbMATH Keywords

fractional \(p(\mathrm{x}, \cdot)\)-Kirchhoff-type problem

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fractional Sobolev space

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existence of solutions

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infinitely many solutions

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Morse's theory

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logarithmic nonlinearity

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local linking

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40590-023-00580-6

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cites work

On a new fractional Sobolev space with variable exponent on complete manifolds

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Morse's theory and local linking for a fractional \((p_1 (\mathrm{x}.,), p_2 (\mathrm{x}.,))\): Laplacian problems on compact manifolds

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Existence and multiplicity of solutions for a Schrödinger-Kirchhoff type equation involving the fractional \(p(.,.)\)-Laplacian operator in \(\mathbb{R}^N\)

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Comparison and sub-supersolution principles for the fractional \(p(x)\)-Laplacian

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Critical point theory for asymptotically quadratic functionals and applications to problems with resonance

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On convergence of the penalty method for a static unilateral contact problem with nonlocal friction in electro-elasticity

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Extension of the Leray-Schauder degree for abstract Hammerstein type mappings

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Global solutions for a nonlinear Kirchhoff type equation with viscosity

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Fractional Laplacian in conformal geometry

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Variable Exponent, Linear Growth Functionals in Image Restoration

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Multiplicity of solutions for \(p(x)\)-polyharmonic elliptic Kirchhoff equations

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Existence of solutions for a \(p(x)\)-Kirchhoff-type equation

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On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)

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The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms

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Infinitely many non-radial solutions for a Choquard equation

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Nontrivial solutions for Kirchhoff-type problems involving the \(p(x)\)-Laplace operator

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On the singularly perturbation fractional Kirchhoff equations: critical case

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Q4684728

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A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional \(p(\cdot)\)-Laplacian

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Fractional Sobolev spaces with variable exponents and fractional <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo form="prefix">(</mml:mo> <mml:mi>x</mml:mi> <mml:mo form="postfix">)</mml:mo> </mml:mrow> </mml:mrow> </mml:math>-Laplacians

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Existence and multiplicity of solutions for Kirchhoff-Schrödinger type equations involving \(p(x)\)-Laplacian on the entire space \(\mathbb{R}^N\)

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On a \(p\)-Kirchhoff equation via fountain theorem and dual fountain theorem

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Nonlinear Analysis - Theory and Methods

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Homological local linking

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Multiple solutions for nonhomogeneous Schrödinger-Kirchhoff type equations involving the fractional \(p\)-Laplacian in \(\mathbb R^N\)

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Morse theory and local linking for a nonlinear degenerate problem arising in the theory of electrorheological fluids

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Partial Differential Equations with Variable Exponents

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On a progress in the theory of lebesgue spaces with variable exponent: maximal and singular operators

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Mountain pass solutions for non-local elliptic operators

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Identifiers

Mathematics Subject Classification ID

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10.1007/S40590-023-00580-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:6151836