Results 111 to 120 of about 4,578,220 (140)

Concentration-Compactness Principle for Generalized Trudinger Inequalities

Zeitschrift für Analysis und ihre Anwendungen, 2011
Let \Omega\subset\mathbb R^n , n\geq 2 , be a bounded domain and let \alpha < n-1
Černý, Robert, Gurka, Petr, Hencl, Stanislav   +2 more
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Concentration-compactness principle for an inequality by D.  Adams

Calculus of Variations and Partial Differential Equations, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
do Ó., João Marcos, Macedo, Abiel Costa   +1 more
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Note on the Concentration-Compactness Principle for Generalized Moser-Trudinger Inequalities

Central European Journal of Mathematics, 2012
Abstract Let Ω ⊂ ℝn, n ≥ 2, be a bounded domain and let α < n − 1. Motivated by Theorem I.6 and Remark I.18 of [Lions P.-L., The concentration-compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana, 1985, 1(1), 145–201] and by the results of [Černý R., Cianchi A., Hencl S., Concentration ...
Robert Černý
exaly   +3 more sources

Concentration-Compactness Principle for Moser-Type Inequalities in Lorentz-Sobolev Spaces

Potential Analysis, 2015
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Robert Černý
exaly   +5 more sources

THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS

Acta Mathematica Scientia, 1989
Abstract In this paper we discuss various kinds of eigenvalue problems by an improved Concentration-compactness principle. We also obtain a global compactness lemma and apply it to discuss the role of the symmetry in compactness.
Xiping Zhu, Daomin Cao
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Concentration Compactness Principle at Infinity With Partial Symmetry and Its Application

Nonlinear Analysis: Theory, Methods & Applications, 2002
This paper presents a partial symmetry version of the ``concentration compactness principle'' at infinity. As an application the authors discuss some semilinear elliptic equations in infinite cylindrical domains with axial symmetry.
Michinori Ishiwata, Mitsuharu Ôtani
exaly   +3 more sources

Concentration-Compactness Principle for Nonlocal Scalar Field Equations With Critical Growth

Journal of Mathematical Analysis and Applications, 2017
The aim of this paper is to study a concentration-compactness principle for homogeneous fractional Sobolev space $\mathcal{D}^{s,2} (\mathbb{R}^N)$ for ...
João Marcos Bezerra do Ó, Diego Ferraz
exaly   +3 more sources

A Concentration–Compactness Principle for the Singular Adams Inequalities and Applications

Complex Variables and Elliptic Equations
Van Hoang Nguyen
exaly   +2 more sources

On the Concentration-Compactness Principle for Anisotropic Variable Exponent Sobolev Spaces and Its Applications

Fractional Calculus and Applied Analysis
AbstractWe obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of nonlinear critical anisotropic elliptic equations involving variable exponents and two real ...
Maria Alessandra Ragusa, Nabil Chems Eddine, Dušan Repovš   +2 more
exaly   +5 more sources

The principle of concentration compactness in 𝒟1,p

International Journal of Mathematics
In this paper, we consider the concentration-compactness principle in [Formula: see text], which is applied to treat the problems associated with the determination of extremal functions in functional inequalities. A more precise equality of [Formula: see text] is obtained under the conditions, that, [Formula: see text] (as stated in Theorem 3.1).
Xinxin Guo, Yansheng Zhong
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