Lower Semicontinuity of Functionals via the Concentration-Compactness Principle
Journal of Mathematical Analysis and Applications, 2001 It is proved that, if \(\Omega\) is a bounded open subset of \({\mathbb R}^N\) and ...
Eugenio Montefusco
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Concentration-compactness principle of singular Trudinger–Moser inequality involving N-Finsler–Laplacian operator [PDF]
International Journal of Mathematics, 2020 In this paper, suppose [Formula: see text] be a convex function of class [Formula: see text] which is even and positively homogeneous of degree 1. We establish the Lions type concentration-compactness principle of singular Trudinger–Moser Inequalities ...
Yanjun Liu
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The concentration-compactness principle for fractional Orlicz-Sobolev spaces
Complex Variables and Elliptic Equations, 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 $g-$Laplacian.
Sabri Bahrouni, Olı́mpio H. Miyagaki
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EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE [PDF]
Mathematical Models and Methods in Applied Sciences, 2013 This paper is intended to review recent results and open problems concerning the existence of steady states to the Maxwell-Schr\"odinger system. A combination of tools, proofs and results are presented in the framework of the concentration--compactness ...
Isabelle Catto +3 more
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Fractional Calculus and Applied AnalysisWe obtain critical embeddings and the concentration-compactness principle for the anisotropic variable exponent Sobolev spaces. As an application of these results,we confirm the existence of and find infinitely many nontrivial solutions for a class of ...
Nabil Chems Eddine +2 more
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The concentration-compactness principle for the nonlocal anisotropic
Nonlinear Analysis, 2023 19 ...
Jamil Chaker +2 more
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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 .
Robert Černɓ
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Concentration-compactness principle for nonlocal scalar field equations with critical growth [PDF]
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 ...
João Marcos do Ó, Diego Ferraz
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Concentration-Compactness Principle for Generalized Trudinger Inequalities
Zeitschrift für Analysis und ihre Anwendungen, 2011 Let \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
Robert Černý +2 more
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Journal of Differential Equations, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Daniele Bartolucci, Gabriella Tarantello
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