Concentration-Compactness Principle for Trudinger–Moser’s Inequalities on Riemannian Manifolds and Heisenberg Groups: A Completely Symmetrization-Free Argument [PDF]
Advanced Nonlinear Studies, 2021 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.
Jungang Li, Guozhen Lu, Maochun Zhu
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The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis-Nirenberg problem [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2018 In this paper we extend the well-known concentration-compactness principle for the Fractional Laplacian operator in unbounded domains. As an application we show sufficient conditions for the existence of solutions to some critical equations involving the
Julián Fernández Bonder +2 more
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Concentration-compactness principle for mountain pass problems
, 2005 In the paper we show that critical sequences associated with the mountain pass level for semilinear elliptic problems on $\R^N$ converge when the non-linearity is subcritical, superlinear and satisfies the penalty condition $F_\infty(s)
Kyril Tintarev
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The concentration-compactness principle for Orlicz spaces and applications
, 2021 In this revision we have modified and extended our application to the solvability of critical-type elliptic ...
Julián Fernández Bonder, Analía Silva
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Concentration–Compactness Principle to a Weighted Moser–Trudinger Inequality and Its Application
Journal of mathematicsWe employ level‐set analysis of functions to establish a sharp concentration–compactness principle for the Moser–Trudinger inequality with power weights in .
Yubo Ni
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A study and an application of the concentration compactness type principle
, 2019 In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{\it $(p(x),p^+)$-Laplacian}' and power nonlinearities with exponents $(p^+)^*$, $p_s^*(x)$ with the assumption that the critical set $\{x\in :p_s^*(x)=(p^+)^*\}$ is nonempty.
Akasmika Panda, Debajyoti Choudhuri
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Concentration-compactness principle for Trudinger–Moser inequalities on Heisenberg groups and existence of ground state solutions [PDF]
Calculus of Variations and Partial Differential Equations, 2018 Let $\mathbb{H}^{n}=\mathbb{C}^{n}\times\mathbb{R}$ be the $n$-dimensional Heisenberg group, $Q=2n+2$ be the homogeneous dimension of $\mathbb{H}^{n}$. We extend the well-known concentration-compactness principle on finite domains in the Euclidean spaces of \ P. L. Lions to the setting of the Heisenberg group $\mathbb{H}^{n}$.
Jungang Li, Guozhen Lu, Maochun Zhu
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A CONCENTRATION-COMPACTNESS PRINCIPLE FOR PERTURBED ISOPERIMETRIC PROBLEMS WITH GENERAL ASSUMPTIONS
Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have components ``infinitely'' distant from each other. In this article and under mild assumptions we establish existence and density estimates of generalized minimizers of perturbed ...
Jules Candau-Tilh
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Author Correction: On the concentration-compactness principle for anisotropic variable exponent Sobolev spaces and its applications [PDF]
Fractional Calculus and Applied AnalysisNabil Chems Eddine +2 more
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Concentration-compactness principle for generalized Moser-Trudinger inequalities: characterization of the non-compactness in the radial case [PDF]
, 2014 Let B(R)⊂Rn , n 2 , be an open ball. By a result from [1], the Moser functional with the borderline exponent from the Moser inequality fails to be sequentially weakly continuous on the set of radial functions from the unit ball in W 1,n 0 (B(R)) only in ...
Robert Černɓ
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