Extremals for fractional Moser-Trudinger inequalities in dimension 1 via harmonic extensions and commutator estimates
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Publication:783322
DOI10.1515/ans-2020-2089zbMath1445.35308arXiv1904.10267OpenAlexW3025649721MaRDI QIDQ783322
Gabriele Mancini, Luca Martinazzi
Publication date: 12 August 2020
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.10267
Semilinear elliptic equations (35J61) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Green's functions for elliptic equations (35J08)
Related Items (10)
Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half-spaces ⋮ Improved Trudinger–Moser inequality involving Lp-norm on a closed Riemann surface with isometric group actions ⋮ Gagliardo-Nirenberg type inequalities on Lorentz, Marcinkiewicz and weak-𝐿^{∞} spaces ⋮ Critical and supercritical Adams' inequalities with logarithmic weights ⋮ Existence of sign-changing radial solutions with prescribed numbers of zeros for elliptic equations with the critical exponential growth in ℝ² ⋮ Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals ⋮ Extremal functions for a class of trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary ⋮ Improved Adams-type inequalities and their extremals in dimension 2m ⋮ Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities ⋮ Critical trace Trudinger-Moser inequalities on a compact Riemann surface with smooth boundary
Cites Work
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- Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations
- A fractional Moser-Trudinger type inequality in one dimension and its critical points.
- Hitchhiker's guide to the fractional Sobolev spaces
- Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case
- Fractional Adams-Moser-Trudinger type inequalities
- Blow-up analysis of a nonlocal Liouville-type equation
- Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
- Adams' inequalities for bi-Laplacian and extremal functions in dimension four
- A threshold phenomenon for embeddings of \({H^m_0}\) into Orlicz spaces
- Critical points of embeddings of \(H_ 0^{1,n}\) into Orlicz spaces
- A sharp inequality of J. Moser for higher order derivatives
- Extremal functions for the Trudinger-Moser inequality in 2 dimensions
- On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem.
- On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results
- Sharp exponential integrability for critical Riesz potentials and fractional Laplacians on \(\mathbb{R}^n\)
- Equivalence of critical and subcritical sharp Trudinger-Moser-Adams inequalities
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- A Moser-Trudinger inequality on the boundary of a compact Riemann surface
- Uniqueness for the \(n\)-dimensional half space Dirichlet problem
- Existence and asymptotics for solutions of a non-local Q-curvature equation in dimension three
- Structure of conformal metrics on \(\mathbb{R}^n\) with constant \(Q\)-curvature.
- Existence and nonexistence of extremal functions for sharp Trudinger-Moser inequalities
- Sharp threshold nonlinearity for maximizing the Trudinger-Moser inequalities
- A sharp inequality of Trudinger-Moser type and extremal functions in \(H^{1, n}(\mathbb{R}^n)\)
- The Moser-Trudinger inequality and its extremals on a disk via energy estimates
- Critical and subcritical fractional Trudinger-Moser-type inequalities on \(\mathbb{R}\)
- A sharp Trudinger-Moser type inequality involving \(L^n\) norm in the entire space $\mathbb{R}^n$
- Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds
- Convolution operators and L(p, q) spaces
- A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
- Sharp subcritical Moser-Trudinger inequalities on Heisenberg groups and subelliptic PDEs
- Blow-up behavior of a fractional Adams–Moser–Trudinger-type inequality in odd dimension
- Trudinger–Moser inequality on the whole plane and extremal functions
- The nonlocal mean-field equation on an interval
- Gamma
- Extremal functions for Moser’s inequality
- Sharp Adams-type inequalities in ℝⁿ
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Extremal functions for the Moser–Trudinger inequality of Adimurthi–Druet type in W1,N(ℝN)
- An Extension Problem Related to the Fractional Laplacian
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
- On the Distribution of First Hits for the Symmetric Stable Processes
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