Rellich-type Discrete Compactness for Some Discontinuous Galerkin FEM [PDF]
We deduce discrete compactness of Rellich type for some discontinuous Galerkin finite element methods (DGFEM) including hybrid ones, under fairly general settings on the triangulations and the finite element spaces.
KIKUCHI, Fumio
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Proof-theoretic uniform boundedness and bounded collection principles and countable Heine–Borel compactness [PDF]
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
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Tightness-concentration principles and compactness for evolution problems in Banach spaces
, 2003 Compactness in the space L^p (0, T ; B), B being a separable Banach space, has been deeply investigated by J.P. Aubin (1963), J.L. Lions (1961,1969), J. Simon (1987), and, more recently, by J.M. Rakotoson and R.
SAVARE', GIUSEPPE, Rossi Riccarda
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Concentration-compactness principle and applications to nonlocal elliptic problems
, 2016 The main goal of this work is to analyze concentration-compactness principles for fractional Sobolev spaces based on the concentration compactness principle of P.-L. Lions and in the pro le decomposition for weak convergence in Hilbert spaces due to K.
Souza, Diego Ferraz de
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The concentration-compactness principle for Musielak-Orlicz spaces and applications
This paper extends the Concentration-Compactness Principle to Musielak-Orlicz spaces, working in both bounded and unbounded domains. We show that our results include important special cases like classical Orlicz spaces, variable exponent spaces, double phase spaces, and a new type of double phase problem where the exponents depend on the solution ...
Bahrouni, Ala Eddine, Bahrouni, Anouar
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The Concentration-Compactness Principle in the Calculus of Variations. The limit case, Part 1
Revista Matemática Iberoamericana, 1985 After the study made in the locally compact case for variational problems with some translation invariance, we investigate here the variational problems (with constraints) for example in \mathbb R^N where the invariance of
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, 2013 This paper is intended to review 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 ...
Dolbeault, Jean +3 more
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Concentration Compactness: Functional-Analytic Theory of Concentration Phenomena/ Cyril Tintarev.
, 2020 In English.Includes bibliographical references and index.Concentration compactness methods are applied to PDE's that lack compactness properties, typically due to the scaling invariance of the underlying problem.
Tintarev Kyril
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Concentration and compactness in nonlinear Schrödinger–Poisson system with a general nonlinearity
, 2010 In this paper we use a concentration and compactness argument to prove the existence of a nontrivial non-radial solution to the nonlinear Schrödinger–Poisson equations in R3, assuming on the nonlinearity the general hypotheses introduced by ...
AZZOLLINI, ANTONIO, A. Azzollini
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The Concentration-Compactness Principle in the Calculus of Variations. The Limit Case, Part 2
Revista Matemática Iberoamericana, 1985 This paper is the second part of a work devoted to the study of variational problems (with constraints) in functional spaces defined on domains presenting some (local) form of invariance by a non-compact group of transformations like the dilations in \mathbb R^N
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