Results 21 to 30 of about 4,578,220 (140)
Concentration compactness principles for the systems of critical elliptic equations [PDF]
Differential Equations & Applications, 2012 In this paper, some important variants of the concentration compactness principle are established. By the variants, some kinds of the elliptic systems can be investigated and the existence of nontrivial solutions to the systems can be verified by the variational methods.
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The concentration-compactness principle for fractional Orlicz-Sobolev spaces [PDF]
, 2023 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 ...
Miyagaki, Olimpio, Bahrouni, Sabri
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Concentration-compactness principle and applications
, 2022 diagramasEn el presente trabajo estudiamos el Principio de Concentración-Compacidad, desarrollado por el matemático francés Pierre-Louis Lions, y realizamos algunas aplicaciones en las áreas de las Ecuaciones Diferenciales Parciales y el Análisis No ...
Durango Higinio, Juan Diego
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Compactness Under Constructive Scrutiny [PDF]
, 2008 The aim of this thesis is to understand the constructive scope of compactness. We show that it is possible to define, constructively, a meaningful notion of compactness in a more general setting than the uniform/metric space one.
Diener, Hannes, Hannes Diener
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Application status and development trends of dry dust collectors in coal mine heading faces
Meikuang AnquanTo address the problems of inadequate structural selection, insufficient performance optimization, and lack of intelligence in the technological development of dry dust collectors under the high-dust environment of coal mine heading faces, this study ...
Wenhao XIAN +8 more
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A study and an application of the concentration compactness type principle
, 2019 In this article we develop a concentration compactness type principle in a variable exponent setup. As an application of this principle we discuss a problem involving fractional `{\it $(p(x),p^+)$-Laplacian}' and power nonlinearities with exponents $(p^+)^*$, $p_s^*(x)$ with the assumption that the critical set $\{x\inΩ:p_s^*(x)=(p^+)^*\}$ is nonempty.
Panda, Akasmika, Choudhuri, Debajyoti
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Concentration-Compactness Principle for embedding into multiple exponential spaces [PDF]
Mathematical Inequalities & Applications, 2012 Let Ω⊂Rn , n 2 , be a bounded domain and let α < n−1 . We prove the ConcentrationCompactness Principle for the embedding of the Orlicz-Sobolev space W 1 0 L n logn−1 L logα logL(Ω) into the Orlicz space corresponding to a Young function that behaves like exp(exp(t n n−1−α )) for large t .
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, 2021 In this note we show that proof-theoretic uniform boundedness or bounded collection principles which allow one to formalize certain instances of countable Heine–Borel compactness in proofs using abstract metric structures must be carefully distinguished ...
Kohlenbach, Ulrich, Ulrich Kohlenbach
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The concentration-compactness principle for the nonlocal anisotropic
Nonlinear Analysis, 2023 19 ...
Chaker, Jamil +2 more
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Lions-type compactness and Rubik actions on the Heisenberg group [PDF]
, 2013 In this paper we prove a Lions-type compactness embedding result for symmetric unbounded domains of the Heisenberg group. The natural group action on the Heisenberg group TeX is provided by the unitary group U(n) × {1} and its appropriate subgroups ...
Kristály, Alexandru, Balogh, Zoltán M.
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