Results 211 to 220 of about 25,464 (224)
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Concentration-Compactness Principle for Generalized Trudinger Inequalities
Zeitschrift für Analysis und ihre Anwendungen, 2011Let \Omega\subset\mathbb R^n , n\geq 2 , be a bounded domain and let \alpha < n-1 . We prove the Concentration-Compactness Principle for the embedding of the Orlicz-Sobolev space
Stanislav Hencl +2 more
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THE CONCENTRATION-COMPACTNESS PRINCIPLE IN NONLINEAR ELLIPTIC EQUATIONS
Acta Mathematica Scientia, 1989Abstract 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.
Daomin Cao, Xiping Zhu
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Concentration-compactness principle for an inequality by D. Adams
Calculus of Variations and Partial Differential Equations, 2013This paper brings a generalization of the Lions concentration–compactness principle to the Sobolev space \(W_0^{m,p}(\Omega )\) when \(mp=n\) and \(\Omega \subset \mathbb {R}^n \, (n \ge 2)\) is a smooth domain with finite \(n\)-measure. Moreover, our result sharpens an inequality by D. Adams improving its best exponent.
Abiel Costa Macedo, João Marcos do Ó
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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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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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Nonlinear Analysis, 2020
Abstract In this paper, we establish a sharp concentration-compactness principle associated with the Trudinger–Moser inequality on Sobolev spaces with logarithmic weights. As applications, we establish the existence of ground state solutions to the following equation with critical double exponential nonlinearity − d i v ( | ∇ u |
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Abstract In this paper, we establish a sharp concentration-compactness principle associated with the Trudinger–Moser inequality on Sobolev spaces with logarithmic weights. As applications, we establish the existence of ground state solutions to the following equation with critical double exponential nonlinearity − d i v ( | ∇ u |
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An abstract version of the concentration compactness principle
2002International ...
Schindler, Ian, Tintarev, Cyril
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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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