Results 21 to 30 of about 32,808 (291)
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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The concentration–compactness principle for Orlicz spaces and applications [PDF]
Mathematische NachrichtenAbstractIn this paper, we extend the well‐known concentration–compactness principle of P.L. Lions to Orlicz spaces. As an application, we show an existence result to some critical elliptic problem with nonstandard growth.
Julián Fernández Bonder, Analía Silva
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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 $\{x\in :p_s^*(x)=(p^+)^*\}$ is nonempty.
Akasmika Panda, Debajyoti Choudhuri
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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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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 involving [Formula: see text]-Finsler–Laplacian operator.
Yanjun Liu
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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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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 reviews recent results and open problems concerning the existence of steady states to the Maxwell–Schrödinger system. A combination of tools, proofs and results are presented in the framework of the concentration–compactness method.
Isabelle Catto +3 more
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Fractional Calculus and Applied AnalysisAbstractWe 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 nonlinear critical anisotropic elliptic equations involving variable exponents and two real ...
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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A CONCENTRATION-COMPACTNESS PRINCIPLE FOR PERTURBED ISOPERIMETRIC PROBLEMS WITH GENERAL ASSUMPTIONS
Derived from the concentration-compactness principle, the concept of generalized minimizer can be used to define generalized solutions of variational problems which may have components ``infinitely'' distant from each other. In this article and under mild assumptions we establish existence and density estimates of generalized minimizers of perturbed ...
Jules Candau-Tilh
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