Profile decomposition in Sobolev spaces and decomposition of integral functionals. I: Inhomogeneous case
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Publication:2165548
DOI10.1016/j.jfa.2022.109647zbMath1504.46043arXiv2109.08176OpenAlexW4286268398MaRDI QIDQ2165548
Publication date: 20 August 2022
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.08176
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Compactness in Banach (or normed) spaces (46B50)
Cites Work
- Unnamed Item
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- Defect of compactness in spaces of bounded variation
- Some remarks on profile decomposition theorems
- Concentration analysis and applications to PDE. ICTS workshop, Bangalore, India, January 3--12, 2012
- On a Brezis-Nirenberg type quasilinear problem
- An alternative approach to regularity for the Navier-Stokes equations in critical spaces
- A general wavelet-based profile decomposition in the critical embedding of function spaces
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- Global well-posedness, scattering and blow-up for the energy-critical, focusing, nonlinear Schrö\-dinger equation in the radial case
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- The concentration-compactness principle in the calculus of variations. The limit case. I
- The concentration-compactness principle in the calculus of variations. The limit case. II
- Functional analysis, Sobolev spaces and partial differential equations
- Convergence of solutions of H-systems or how to blow bubbles
- Analysis of the lack of compactness in the critical Sobolev embeddings
- A note on compactness-type properties with respect to Lorentz norms of bounded subsets of a Sobolev space
- Minimax theorems
- A profile decomposition approach to the \(L^\infty _t(L^{3}_x)\) Navier-Stokes regularity criterion
- On the blow up phenomenon of the critical nonlinear Schrödinger equation
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Concentration analysis in Banach spaces
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On a nonlinear elliptic equation involving the critical sobolev exponent: The effect of the topology of the domain
- Description of the lack of compactness for the Sobolev imbedding
- High Frequency Approximation of Solutions to Critical Nonlinear Wave Equations
- Concentration Compactness
- An abstract version of the concentration compactness principle.
- On the defect of compactness for the Strichartz estimates of the Schrödinger equations
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