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Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation - MaRDI portal

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Q2631660)

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English	Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation	scientific article

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scholarly article

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Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (English)

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Advanced Nonlinear Studies

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publication date

15 May 2019

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zbMATH Keywords

fractional Sobolev-Slobodeckij spaces

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fractional Laplacians

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1515/ans-2018-2026

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

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A sharp inequality of J. Moser for higher order derivatives

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Symmetric Decreasing Rearrangement Is Sometimes Continuous

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On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)

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Semilinear elliptic equations for beginners. Existence results via the variational approach

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Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\)

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\(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth

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A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

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Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\)

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

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Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth

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Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions

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Best constants and existence of maximizers for weighted Trudinger-Moser inequalities

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An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature

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An improvement for the Trudinger-Moser inequality and applications

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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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Sharp borderline Sobolev inequalities on compact Riemannian manifolds

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Fractional elliptic equations with critical exponential nonlinearity

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Moser functions and fractional Moser-Trudinger type inequalities

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

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On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form

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A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one

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A fractional Moser-Trudinger type inequality in one dimension and its critical points.

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Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)

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Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)

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Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications

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A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument

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N-Laplacian Equations in ℝ<sup>N</sup> with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition

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

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Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs

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Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions

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Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities

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Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension

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Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions

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Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds

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A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$

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Remarks on the extremal functions for the Moser-Trudinger inequality

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The concentration-compactness principle in the calculus of variations. The limit case. I

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Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces

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Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝ<sup>n</sup>

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Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

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Adams' inequalities for bi-Laplacian and extremal functions in dimension four

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Fractional Adams-Moser-Trudinger type inequalities

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Trudinger-Moser Inequalities with the Exact Growth Condition in ℝ<sup><i>N</i></sup>and Applications

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Recent progresses in the theory of nonlinear nonlocal problems

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Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem

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On critical cases of Sobolev's inequalities

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On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces

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Espaces d'interpolation et théorème de Soboleff

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Bifurcation results for problems with fractional Trudinger-Moser nonlinearity

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

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Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms

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Adams type inequalities and related elliptic partial differential equations in dimension four

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Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations

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Identifiers

zbMATH Open document ID

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10.1515/ans-2018-2026

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2631660

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