A new approach to sharp Moser–Trudinger and Adams type inequalities: a rearrangement-free argument
The main purpose of this paper is two-fold. On the one hand, we will develop a new
approach to establish sharp singular Moser–Trudinger and Adams type inequalities in …
approach to establish sharp singular Moser–Trudinger and Adams type inequalities in …
[HTML][HTML] Sharp Moser–Trudinger inequality on the Heisenberg group at the critical case and applications
Let H= Cn× R be the n-dimensional Heisenberg group, Q= 2n+ 2 be the homogeneous
dimension of H, Q′= QQ− 1, and [Formula: see text] be the homogeneous norm of ξ=(z, t)∈ …
dimension of H, Q′= QQ− 1, and [Formula: see text] be the homogeneous norm of ξ=(z, t)∈ …
Equivalence of critical and subcritical sharp Trudinger–Moser–Adams inequalities
Abstract Sharp Trudinger–Moser inequalities on the first order Sobolev spaces and their
analogous Adams inequalities on high order Sobolev spaces play an important role in …
analogous Adams inequalities on high order Sobolev spaces play an important role in …
Sharpened Adams Inequality and Ground State Solutions to the Bi-Laplacian Equation in ℝ4
L Chen, J Li, G Lu, C Zhang - Advanced Nonlinear Studies, 2018 - degruyter.com
In this paper, we establish a sharp concentration-compactness principle associated with the
singular Adams inequality on the second-order Sobolev spaces in ℝ 4. We also give a new …
singular Adams inequality on the second-order Sobolev spaces in ℝ 4. We also give a new …
Sharp Adams type inequalities in Sobolev spaces Wm, nm (Rn) for arbitrary integer m
The main purpose of our paper is to prove sharp Adams type inequalities in unbounded
domains of Rn for the Sobolev space Wm, nm (Rn) for any positive integer m less than n …
domains of Rn for the Sobolev space Wm, nm (Rn) for any positive integer m less than n …
On Nonuniformly Subelliptic Equations of Q− sub-Laplacian Type with Critical Growth in the Heisenberg Group
Let ℍn= ℝ2n× ℝ be the n− dimensional Heisenberg group, be its subelliptic gradient
operator, and ρ (ξ)=(| z| 4+ t2) 1/4 for ξ=(z, t)∈ ℍn be the distance function in ℍn. Denote ℍ …
operator, and ρ (ξ)=(| z| 4+ t2) 1/4 for ξ=(z, t)∈ ℍn be the distance function in ℍn. Denote ℍ …
A new Adams' inequality involving the Bilaplacian operators and applications to some biharmonic nonlocal equation
S Aouaoui - Annali di Matematica Pura ed Applicata (1923-), 2024 - Springer
In this paper, we prove some new inequality of Adams' type for some new higher order
Sobolev space whose norm is a combination of the norms of the N 2-Bilaplacian and the p …
Sobolev space whose norm is a combination of the norms of the N 2-Bilaplacian and the p …
Polyharmonic Kirchhoff problems involving exponential non-linearity of Choquard type with singular weights
In this work, we study the higher order Kirchhoff type Choquard equation (KC) involving a
critical exponential non-linearity and singular weights. We prove the existence of solution to …
critical exponential non-linearity and singular weights. We prove the existence of solution to …
Sharp affine and improved Moser–Trudinger–Adams type inequalities on unbounded domains in the spirit of Lions
The purpose of this paper is threefold. First, we prove sharp singular affine Moser–Trudinger
inequalities on both bounded and unbounded domains in R^ n R n. In particular, we will …
inequalities on both bounded and unbounded domains in R^ n R n. In particular, we will …
Existence and non-existence of maximizers for the Moser–Trudinger type inequalities under inhomogeneous constraints
N Ikoma, M Ishiwata, H Wadade - Mathematische Annalen, 2019 - Springer
In this paper, we study the existence and non-existence of maximizers for the Moser–
Trudinger type inequalities in R^ N RN of the form D_ N, α (a, b):=\sup _ u ∈ W^ 1, N (R …
Trudinger type inequalities in R^ N RN of the form D_ N, α (a, b):=\sup _ u ∈ W^ 1, N (R …