Results 201 to 210 of about 65,671 (226)
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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 |
Caifeng Zhang
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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 |
Caifeng Zhang
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Steel Research International, 2022
Rare earth elements have unique outer electronic structure, variable valence, and strong chemical activity; however, their occurrence state in the rust layer and influence on the invasion state of corrosion atoms are still unclear.
Yan-hui Hou +3 more
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Rare earth elements have unique outer electronic structure, variable valence, and strong chemical activity; however, their occurrence state in the rust layer and influence on the invasion state of corrosion atoms are still unclear.
Yan-hui Hou +3 more
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Multiple solutions for a class of noncooperative critical nonlocal system with variable exponents
Mathematical methods in the applied sciences, 2021In this paper, we consider a class of noncooperative critical nonlocal system with variable exponents of the form: −(−Δ)p(·,·)su−|u|p(x)−2u=Fu(x,u,v)+|u|q(x)−2u,inℝN,(−Δ)p(·,·)sv+|v|p(x)−2v=Fv(x,u,v)+|v|q(x)−2u,inℝN,u,v∈Ws,p(·,·)(ℝN), where ∇F=(Fu,Fv) is
Yueqiang Song, S. Shi
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An improvement on the concentration-compactness principle
Acta Mathematicae Applicatae Sinica, 2001In this paper we first improve the concentration-compactness lemma by proving that the vanishing case is a special case of dichotomy, then we apply this improved concentration-compactness lemma to a typical restcted minimization problem, and get some new results.
Qiu Xing +3 more
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THE CONCENTRATION-COMPACTNESS PRINCIPLE AND INVERSE POWER METHOD
Acta Mathematica Scientia, 1990Abstract In this paper, we are concerned with the eigenvalue problem of a semilinear elliptic equation. We use concentration-compactness principle and inverse power method to find some conditions in order that the non-radial solutions may exist for an equation with variable coefficients.
Yi Ding, Xiaxi Ding
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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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, 2010
A hybrid jet impingement / microchannel cooling scheme was designed and applied to densely packed PV cells under high concentration. An experimental study allows validating the principles of the design and confirming its applicability to the cited system.
J. Barrau, J. Rosell, M. Ibañez
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A hybrid jet impingement / microchannel cooling scheme was designed and applied to densely packed PV cells under high concentration. An experimental study allows validating the principles of the design and confirming its applicability to the cited system.
J. Barrau, J. Rosell, M. Ibañez
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Kirchhoff‐type critical fractional Laplacian system with convolution and magnetic field
Mathematische NachrichtenIn this paper, we consider a class of upper critical Kirchhoff‐type fractional Laplacian system with Choquard nonlinearities and magnetic fields. With the help of the limit index theory and the concentration–compactness principles for fractional Sobolev ...
Sihua Liang, Binlin Zhang
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