Results 41 to 50 of about 33,794 (182)

Existence of ground state for fractional Kirchhoff equation with L 2 $L^{2}$ critical exponents

Boundary Value Problems, 2020
In this paper, we consider a class of fractional Kirchhoff equations with L 2 $L^{2}$ critical exponents. By using the scaling technique and concentration-compactness principle we obtain the existence and nonexistence of ground state for fractional ...
Yaling Han, Yimin Zhang
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The concentration–compactness principle for Orlicz spaces and applications

Mathematische Nachrichten
AbstractIn this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.
Julián Fernández Bonder, Analía Silva
openaire   +4 more sources

Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent

Journal of Inequalities and Applications, 2017
In this article, we study the existence and multiplicity of positive solutions for the quasi-linear elliptic problems involving critical Sobolev exponent and a Hardy term.
Yanbin Sang, Siman Guo
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Concentration-compactness principle for nonlocal scalar field equations with critical growth

Journal of Mathematical Analysis and Applications, 2016
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 ...
��, Jo��o Marcos do, Ferraz, Diego   +1 more
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Ground state solutions for a class of Schrödinger–Poisson–Slater equation with Coulomb–Sobolev critical exponent

Boundary Value Problems
This paper is concerned with the Schrödinger–Poisson–Slater equation involving the Coulomb–Sobolev exponent. We apply the concentration compactness principle and the Pohožaev-type identity to overcome loss of compactness caused by the Coulomb exponent ...
Jingai Du, Pengfei He, Hongmin Suo
doaj   +1 more source

Existence and multiplicity of solutions for fractional Schödinger equation involving a critical nonlinearity

Advances in Difference Equations, 2019
In this paper, we investigate the fractional Schödinger equation involving a critical growth. By using the principle of concentration compactness and the variational method, we obtain some new existence results for the above equation, which improve the ...
Yongzhen Yun, Tianqing An, Guoju Ye
doaj   +1 more source

Concentration-compactness principle for embedding into multiple exponential spaces on unbounded domains [PDF]

Czechoslovak Mathematical Journal, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The concentration-compactness principle in the Calculus of Variations. The Locally compact case, part 2 [PDF]

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 1984
In this paper (sequel of Part 1) we investigate further applications of the concentration-compactness principle to the solution of various minimization problems in unbounded domains. In particular we present here the solution of minimization problems associated with nonlinear field equations.
openaire   +1 more source

Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces

, 2013
We obtain an improved Sobolev inequality in H^s spaces involving Morrey norms. This refinement yields a direct proof of the existence of optimizers and the compactness up to symmetry of optimizing sequences for the usual Sobolev embedding. More generally,
Palatucci, Giampiero, Pisante, Adriano
core   +1 more source

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)
openaire   +2 more sources