Results 251 to 260 of about 4,640 (267)

A concentration-compactness principle at infinity and positive solutions of some quasilinear elliptic equations in unbounded domains

open access: yesJournal of Mathematical Analysis and Applications, 2005
In this paper, we formulate a concentration-compactness principle at infinity which extends a result introduced by J. Chabrowski [Calc. Var. Partial Differential Equations 3 (1995) 493–512].
Daiwen Huang
exaly   +2 more sources

An improvement on the concentration-compactness principle

Acta Mathematicae Applicatae Sinica, 2001
The authors improve the well-known Lions concentration-compactness lemma by showing that the vanishing is, in fact, a particular case of dichotomy. An application to a minimization problem with constraint is discussed.
Qiu, Xing, Hong, Yi, Shen, Yaotian
openaire   +2 more sources

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   +1 more
openaire   +1 more source

THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD

Acta Mathematica Scientia, 1990
Summary: We are concerned with the eigenvalue problem of a semilinear elliptic equation. We use the concentration-compactness principle and the inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.
Ding, Xiaxi, Ding, Yi
openaire   +2 more sources

The concentration-compactness principle for fractional order Sobolev spaces in unbounded domains and applications to the generalized fractional Brezis–Nirenberg problem [PDF]

open access: yesNonlinear Differential Equations and Applications, 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
Julian Fernández Bonder   +2 more
exaly   +2 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
openaire   +1 more source

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