Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument
The concentration-compactness principle for the Trudinger–Moser-type inequality in the Euclidean space was established crucially relying on the Pólya–Szegő inequality which allows to adapt the symmetrization argument. As far as we know, the first concentration-compactness principle of Trudinger–Mose...
Main Authors: | Li Jungang, Lu Guozhen, Zhu Maochun |
---|---|
Format: | Article |
Language: | English |
Published: |
De Gruyter
2021-11-01
|
Series: | Advanced Nonlinear Studies |
Subjects: | |
Online Access: | https://doi.org/10.1515/ans-2021-2147 |
Similar Items
-
Improved fractional Trudinger-Moser inequalities on bounded intervals and the existence of their extremals
by: Chen Lu, et al.
Published: (2023-05-01) -
Sharp Singular Trudinger–Moser Inequalities Under Different Norms
by: Lam Nguyen, et al.
Published: (2019-05-01) -
Sharp Trudinger–Moser Inequality and Ground State Solutions to Quasi-Linear Schrödinger Equations with Degenerate Potentials in ℝn
by: Chen Lu, et al.
Published: (2021-11-01) -
The existence of ground state solution to elliptic equation with exponential growth on complete noncompact Riemannian manifold
by: Chungen Liu, et al.
Published: (2020-03-01) -
Trudinger–Moser Inequalities in Fractional Sobolev–Slobodeckij Spaces and Multiplicity of Weak Solutions to the Fractional-Laplacian Equation
by: Zhang Caifeng
Published: (2019-02-01)