Results 211 to 220 of about 65,671 (226)
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Concentration-compactness principle and extremal functions for a sharp Trudinger-Moser inequality
Calculus of Variations and Partial Differential Equations, 2014We prove a concentration-compactness principle for the Trudinger-Moser functional associated with a class of weighted Sobolev spaces including fractional dimensions. Based in this result and using blow up analysis we establish a sharp form of Trudinger-Moser type inequality for this class of weighted Sobolev spaces.
José Francisco de Oliveira+2 more
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Direct-reading instrumentation for workplace aerosol measurements. A review
, 1996A state-of-the-art review of direct-reading instruments capable of near real-time measurement, with particular emphasis on workplace applications, is presented.
D. Pui
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The principle of concentration compactness in spaces and its application
Nonlinear Analysis: Theory, Methods & Applications, 2009Abstract In this paper we establish a principle of concentration compactness in L p ( x ) spaces and apply it to obtain the existence of solutions for p ( x ) -Laplacian equations with critical growth.
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Journal of Pseudo-Differential Operators and Applications, 2022
Saifallah Ghobber, H. Mejjaoli
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Saifallah Ghobber, H. Mejjaoli
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The principle of concentration compactness in 𝒟1,p
International Journal of MathematicsIn 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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Calculus of Variations and Partial Differential Equations, 1995
We formulate the concentration-compactness principle at infinity for both subcritical and critical case. We show some applications to the existence theory of semilinear elliptic equations involving critical and subcritical Sobolev exponents.
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We formulate the concentration-compactness principle at infinity for both subcritical and critical case. We show some applications to the existence theory of semilinear elliptic equations involving critical and subcritical Sobolev exponents.
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Concentration compactness principle at infinity with partial symmetry and its application
Nonlinear Analysis: Theory, Methods & Applications, 2002Michinori Ishiwata, Mitsuharu Ôtani
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An abstract version of the concentration compactness principle
2002In this paper the authors prove an abstract version of the well-known concentration compactness principle in Hilbert space. As an application they consider a class of elliptic problems on unbounded domains.
Schindler, Ian, Tintarev, Cyril
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Hardy-Sobolev type inequalities on the H-type group
, 2005Yazhou Han, P. Niu
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