Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
type: Item
instance of: scholarly article
title: Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation
zbMATH Open document ID: 1415.35288
author: Caifeng Zhang
published in: Advanced Nonlinear Studies
publication date: 2019-05-15T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A23
Mathematics Subject Classification ID: 35J35
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 7055428
zbMATH Keywords: fractional Sobolev-Slobodeckij spaces
zbMATH Keywords: fractional Laplacians
MaRDI profile type: Publication
full work available at URL: ans-2018-2026
OpenAlex ID: W2890642979
cites work: Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
cites work: A sharp inequality of J. Moser for higher order derivatives
cites work: Q3581209
cites work: Symmetric Decreasing Rearrangement Is Sometimes Continuous
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Semilinear elliptic equations for beginners. Existence results via the variational approach
cites work: Polyharmonic equations with critical exponential growth in the whole space \(\mathbb{R}^{n}\)
cites work: \(N\)-Laplacian equations in \(\mathbb{R}^N\) with critical growth
cites work: A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
cites work: Sharpened Adams inequality and ground state solutions to the bi-Laplacian equation in \(\mathbb{R}^4\)
cites work: Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
cites work: Semilinear elliptic equations for the fractional Laplacian involving critical exponential growth
cites work: Sharp weighted Trudinger-Moser and Caffarelli-Kohn-Nirenberg inequalities and their extremal functions
cites work: Best constants and existence of maximizers for weighted Trudinger-Moser inequalities
cites work: An interpolation of Hardy inequality and Moser-Trudinger inequality on Riemannian manifolds with negative curvature
cites work: An improvement for the Trudinger-Moser inequality and applications
cites work: Nonautonomous fractional problems with exponential growth
cites work: Ground states of nonlocal scalar field equations with Trudinger-Moser critical nonlinearity
cites work: Sharp borderline Sobolev inequalities on compact Riemannian manifolds
cites work: Fractional elliptic equations with critical exponential nonlinearity
cites work: Moser functions and fractional Moser-Trudinger type inequalities
cites work: \(1/2\)-Laplacian problems with exponential nonlinearity
cites work: On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form
cites work: A note on the Moser-Trudinger inequality in Sobolev-Slobodeckij spaces in dimension one
cites work: A fractional Moser-Trudinger type inequality in one dimension and its critical points.
cites work: Existence and multiplicity of solutions to equations of \(N\)-Laplacian type with critical exponential growth in \(\mathbb R^N\)
cites work: Sharp Adams type inequalities in Sobolev spaces \(W^{m,\frac{n}{m}}(\mathbb R^n)\) for arbitrary integer \(m\)
cites work: Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
cites work: Q5500028
cites work: A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
cites work: N-Laplacian Equations in ℝN with Subcritical and Critical GrowthWithout the Ambrosetti-Rabinowitz Condition
cites work: Elliptic equations and systems with subcritical and critical exponential growth without the Ambrosetti-Rabinowitz condition
cites work: Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs
cites work: Sharp affine and improved Moser-Trudinger-Adams type inequalities on unbounded domains in the spirit of Lions
cites work: Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
cites work: Fourier analysis and optimal Hardy-Adams inequalities on hyperbolic spaces of any even dimension
cites work: Concentration-compactness principle for Trudinger-Moser inequalities on Heisenberg groups and existence of ground state solutions
cites work: Moser-Trudinger inequality on compact Riemannian manifolds of dimension two
cites work: Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
cites work: Remarks on the extremal functions for the Moser-Trudinger inequality
cites work: Analysis.
cites work: The concentration-compactness principle in the calculus of variations. The limit case. I
cites work: Q5747034
cites work: Sharp singular Trudinger-Moser inequalities in Lorentz-Sobolev spaces
cites work: Best Constants for Adams’ Inequalities with the Exact Growth Condition in ℝn
cites work: Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four
cites work: Adams' inequalities for bi-Laplacian and extremal functions in dimension four
cites work: Fractional Adams-Moser-Trudinger type inequalities
cites work: Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
cites work: Recent progresses in the theory of nonlinear nonlocal problems
cites work: Q5603485
cites work: Trudinger type inequalities and uniqueness of weak solutions for the nonlinear Schrödinger mixed problem
cites work: On critical cases of Sobolev's inequalities
cites work: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
cites work: Espaces d'interpolation et théorème de Soboleff
cites work: Bifurcation results for problems with fractional Trudinger-Moser nonlinearity
cites work: A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
cites work: Q5547919
cites work: Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
cites work: Adams type inequalities and related elliptic partial differential equations in dimension four
cites work: Concentration-compactness principle of singular Trudinger-Moser inequalities in \(\mathbb{R}^n\) and \(n\)-Laplace equations
DOI: 10.1515/ANS-2018-2026

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
Similarity Score: 0.95803976
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: On the Moser-Trudinger inequality in fractional Sobolev-Slobodeckij spaces
Similarity Score: 0.95803976
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Trudinger-Moser type inequalities for weighted Sobolev spaces involving fractional dimensions
Similarity Score: 0.9343826
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Singular Trudinger-Moser inequality and fractional \(p\)-Laplace equations in \(\mathbb{R}^N\)
Similarity Score: 0.9239303
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Q3381309
Similarity Score: 0.91182995
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Fractional Sobolev, Moser-Trudinger, Morrey-Sobolev inequalities under Lorentz norms
Similarity Score: 0.9106097
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Fractional Trudinger-Moser type inequalities in one dimension
Similarity Score: 0.9085078
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Remarks on the fractional Moser-Trudinger inequality
Similarity Score: 0.9076804
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Existence and multiplicity of solutions for fractional Schrödinger-Kirchhoff equations with Trudinger-Moser nonlinearity
Similarity Score: 0.9061409
Recommender Run: Recommender Run 3

Trudinger-Moser inequalities in fractional Sobolev-Slobodeckij spaces and multiplicity of weak solutions to the fractional-Laplacian equation (Recommended article)
Recommended article: Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
Similarity Score: 0.90375686
Recommender Run: Recommender Run 3