Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case
DOI10.1016/j.jfa.2014.09.022zbMath1314.46039arXiv1402.2083OpenAlexW2963434478WikidataQ59278468 ScholiaQ59278468MaRDI QIDQ466241
Daniele Cassani, Federica Sani, Cristina Tarsi
Publication date: 24 October 2014
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.2083
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (46)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Beyond the Trudinger-Moser supremum
- Existence and nonexistence of maximizers for variational problems associated with Trudinger--Moser type inequalities in \({\mathbb{R}^N}\)
- Existence of a ground state solution for a nonlinear scalar field equation with critical growth
- On Trudinger-Moser type inequalities involving Sobolev-Lorentz spaces
- On the sharp constant for the weighted Trudinger-Moser type inequality of the scaling invariant form
- Sharp Moser-Trudinger inequalities for the Laplacian without boundary conditions
- Nonlinear scalar field equations. I: Existence of a ground state
- Best constants in a borderline case of second-order Moser type inequalities
- The concentration-compactness principle in the calculus of variations. The limit case. I
- Remarks on Gagliardo-Nirenberg type inequality with critical Sobolev space and BMO
- Singular perturbed problems in the zero mass case: asymptotic behavior of spikes
- Solitary waves for a class of quasilinear Schrödinger equations in dimension two
- Lorentz-Sobolev spaces and systems of Schrödinger equations in \(\mathbb R^N\)
- New solutions for Trudinger-Moser critical equations in \(\mathbb R^2\)
- Rearrangements and convexity of level sets in PDE
- Best constant in Sobolev inequality
- Elliptic equations in \(R^ 2\) with nonlinearities in the critical growth range
- Sharp Moser-Trudinger inequality on the Heisenberg group at the critical case and applications
- A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
- Nonlinear elliptic equations in conformal geometry
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
- Scattering threshold for the focusing nonlinear Klein-Gordon equation
- Trudinger-Moser inequality on the whole plane with the exact growth condition
- Multibumps analysis in dimension 2: quantification of blow-up levels
- Orlicz-Sobolev spaces and imbedding theorems
- A new approach to sharp Moser-Trudinger and Adams type inequalities: a rearrangement-free argument
- A Moser-type inequality in Lorentz–Sobolev spaces for unbounded domains in RN
- Global solutions for a semilinear, two-dimensional Klein-Gordon equation with exponential-type nonlinearity
- Trudinger-Moser Inequalities with the Exact Growth Condition in ℝNand Applications
- A note on limiting cases of sobolev embeddings and convolution inequalities
- Nontrivial Solution of Semilinear Elliptic Equations with Critical Exponent in R
- Radial Symmetry and Decay Rate of Variational Ground States in the Zero Mass Case
- The inequality of Moser and Trudinger and applications to conformal geometry
- Sobolev inequalities in disguise
- Sharp Adams-type inequalities in ℝⁿ
- GROUP INVARIANCE AND POHOZAEV IDENTITY IN MOSER-TYPE INEQUALITIES
- Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents
- Moser-Trudinger inequalities without boundary conditions and isoperimetric problems
- A Moser type inequality in Zygmund spaces without boundary conditions
- A sharp Trudinger-Moser type inequality for unbounded domains in $\mathbb{R}^n$
- Adams' Inequality with the Exact Growth Condition in ℝ4
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
This page was built for publication: Equivalent Moser type inequalities in \(\mathbb{R}^2\) and the zero mass case