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Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities (Q2316076)

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Language	Label	Description	Also known as
English	Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities	scientific article

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scholarly article

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Nonlocal Kirchhoff problems with Trudinger -- Moser critical nonlinearities (English)

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Olímpio Hiroshi Miyagaki

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NoDEA. Nonlinear Differential Equations and Applications

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publication date

26 July 2019

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zbMATH Keywords

Trudinger-Moser inequality

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fractional Laplacian

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Kirchhoff equations

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s00030-019-0574-6

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Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents

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On a class of nonlocal elliptic problems with critical growth

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Positive solutions for a quasilinear elliptic equation of Kirchhoff type

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On nonlinear perturbations of a periodic elliptic problem in \(\mathbb R^2\) involving critical growth.

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Existence of a ground state solution for a nonlinear scalar field equation with critical growth

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Existence of solutions for a class of nonlinear Schrödinger equations with potential vanishing at infinity

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LIFESPAN ESTIMATES FOR SOLUTIONS OF POLYHARMONIC KIRCHHOFF SYSTEMS

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Stationary Kirchhoff problems involving a fractional elliptic operator and a critical nonlinearity

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Global nonexistence for nonlinear Kirchhoff systems

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On some critical problems for the fractional Laplacian operator

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

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Positive solutions of nonlinear problems involving the square root of the Laplacian

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Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R<sup />

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Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity

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Multiple solutions for \(p\)-Kirchhoff equations in \(\mathbb R^N\)

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

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Nontrivial solutions for perturbations of the \(p\)-Laplacian on unbounded domains

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Homoclinic type solutions for a semilinear elliptic PDE on ℝ<sup>n</sup>

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Elliptic equations and systems with critical Trudinger-Moser nonlinearities

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Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range

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On an inequality by N. Trudinger and J. Moser and related elliptic equations

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Hitchhiker's guide to the fractional Sobolev spaces

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A nonhomogeneous elliptic problem involving critical growth in dimension two

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Critical and subcritical fractional problems with vanishing potentials

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Nonautonomous fractional problems with exponential growth

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Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity

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Positive solutions for the <i>p</i>-Laplacian: application of the fibrering method

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Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian

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Multiplicity of solutions for a Kirchhoff equation with subcritical or critical growth.

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\(p\)-fractional Kirchhoff equations involving critical nonlinearities

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Kirchhoff-Hardy fractional problems with lack of compactness

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\(p\)-fractional Hardy-Schrödinger-Kirchhoff systems with critical nonlinearities

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A critical Kirchhoff type problem involving a nonlocal operator

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Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)

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Uniqueness of Radial Solutions for the Fractional Laplacian

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Critical growth problems for ½-Laplacian in ℝ

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Fractional elliptic equations with critical exponential nonlinearity

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Infinitely many positive solutions for Kirchhoff-type problems

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\(1/2\)-Laplacian problems with exponential nonlinearity

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On a fractional Nirenberg problem. I: Blow up analysis and compactness of solutions

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Infinitely many radial solutions for Kirchhoff-type problems in \(\mathbb{R}^N\)

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Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition

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Multiple solutions for \(N\)-Kirchhoff type problems with critical exponential growth in \(\mathbb{R}^N\)

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Study on existence of solutions for \(p\)-Kirchhoff elliptic equation in \(\mathbb{R}^{N}\) with vanishing potential

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On critical cases of Sobolev's inequalities

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Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations

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On a class of nonlinear Schrödinger equations

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A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)

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Ground States for Elliptic Equations in $\pmb{\mathbb{R}}^{2}$ with Exponential Critical Growth

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On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth

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

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A Brezis-Nirenberg result for non-local critical equations in low dimension

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The Brezis-Nirenberg result for the fractional Laplacian

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The Yamabe equation in a non-local setting

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A critical fractional Laplace equation in the resonant case

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Minimax theorems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00030-019-0574-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2316076

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