Results 31 to 40 of about 4,030 (152)

The concentration-compactness principle for the nonlocal anisotropic p-Laplacian of mixed order

Nonlinear Analysis, 2023
19 ...
Chaker, Jamil, Kim, Minhyun, Weidner, Marvin   +2 more
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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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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.
openaire   +1 more source

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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On the concentration–compactness principle for Folland–Stein spaces and for fractional horizontal Sobolev spaces

Mathematics in Engineering, 2022
<abstract><p>In this paper we establish some variants of the celebrated concentration–compactness principle of Lions – CC principle briefly – in the classical and fractional Folland–Stein spaces. In the first part of the paper, following the main ideas of the pioneering papers of Lions, we prove the CC principle and its variant, that is the
Patrizia Pucci, Letizia Temperini
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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
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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)
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Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms

Electronic Journal of Differential Equations, 2012
This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms.
Nemat Nyamoradi, Mohamad Javidi
doaj  

The concentration-compactness principle for fractional Orlicz-Sobolev spaces

Complex Variables and Elliptic Equations
In this paper, we delve into the well-known concentration-compactness principle in fractional Orlicz-Sobolev spaces, and we apply it to establish the existence of a weak solution for a critical elliptic problem involving the fractional $g-$Laplacian.
Bahrouni, Sabri, Miyagaki, Olimpio
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