Optimal Orlicz-Sobolev embeddings
By Andrea Cianchi. 2004
123 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mechanics of Materials
View Paper: https://www.semanticscholar.org/paper/bad71f523e96c85f9c0d0a616dbdf74192b147b4
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In Applied Mathematics
- Iwona Chlebicka
- Federica Sani
- Amiran Gogatishvili
- Lenka Slav'ikov'a
- L. Pick
- Andrea Cianchi
- Maria Rosaria Formica
- Nader Masmoudi
In Mechanics of Materials
- L. Pick
- Iwona Chlebicka
- Lenka Slav'ikov'a
- A. Alberico
- Nader Masmoudi
- Federica Sani
- Alberto Fiorenza
- Andrea Cianchi
Citations in the corpus
- Fully anisotropic elliptic problems with minimally integrable data (2019, background): “22) is a norm, and, consequently, L(A, r)( ) is a rearrangementinvariant space equipped with this norm—see [25].”
- On grand and small Lebesgue and Sobolev spaces and some applications to PDE's (2018, background): “When derivatives are in Orlicz spaces LA(Ω) (see [49, 22, 34, 32, 33]), a notion of A∗ corresponding to the Sobolev conjugate exponent can be given in a sharp way, and we have, roughly speaking,”
- A pocket guide to nonlinear differential equations in Musielak–Orlicz spaces (2018, background): “Let us refer to [50] for best possible embeddings into Orlicz target space and to [53] for embeddings into Lorentz-Orlicz spaces being optimal target among all rearragement invariant spaces.”
- Symmetrization in Anisotropic Elliptic Problems (2007, methodology): “Proposition 3.7 follows from (3.1), via Hardy type inequalities in Orlicz spaces (Cianchi, 2004; Inequalities (3.1) and (3.2)).”
- Adams' Inequality with the Exact Growth Condition in ℝ4 (2014, background): “The goal of this paper is to give the optimal growth rate of the exponential -type function when the problem is considered in the whole space R4.”
- Higher-order Sobolev embeddings and isoperimetric inequalities (2013, background): “10) is actually optimal in the class of all Orlicz spaces [23,25].”
- Fractional Orlicz-Sobolev embeddings (2020, background): “Like the other results of this paper, on setting s ∈ N in their statements, our fractional compact embeddings perfectly tie up with their integer-order counterparts proved in [31, 32, 35, 36].”