On the existence of weak solutions in the context of multidimensional incompressible fluid dynamics [PDF]
, 2021 We define the concept of energy-variational solutions for the Navier--Stokes and Euler equations. This concept is shown to be equivalent to weak solutions with energy conservation.
Lasarzik, Robert
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Subspaces of Hilbert-generated Banach spaces and the quantification of super weak compactness [PDF]
, 2023 © 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).We introduce a measure of super weak noncompactness Γ defined for bounded subsets and ...
Grelier, Guillaume Guy Marcel +1 more
core
Positive solutions for (p,2)-equations with superlinear reaction and a concave boundary term [PDF]
, 2020 We consider a nonlinear boundary value problem driven by the $(p,2)$-Laplacian, with a $(p-1)$-superlinear reaction and a parametric concave boundary term (a "concave-convex" problem).
Papageorgiou, Nikolaos +1 more
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On nonlocal problems for semilinear second order differential inclusions without compactness [PDF]
, 2021 Existence of mild solutions for a nonlocal abstract problem driven by a semilinear second order differential inclusion is studied in Banach spaces in the lack of compactness both on the fundamental system generated by the linear part and on the nonlinear
Cardinali Tiziana, Duricchi Giulia
core
Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups [PDF]
, 2015 We investigate the automorphism groups of $\aleph\_0$-categorical structures and prove that they are exactly the Roelcke precompact Polish groups. We show that the theory of a structure is stable if and only if every Roelcke uniformly continuous function
Tsankov, Todor, Yaacov, Itaï Ben
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Further study on second order nonlocal problems monitored by an operator: an approach without compactness [PDF]
, 2023 In this note we prove the existence of mild solutions for nonlocal problems governed by semilinear second order differential inclusions which involves a nonlinear term driven by an operator.
Cardinali Tiziana, Duricchi Giulia
core
Solvability of Some Perturbed Generalized Variational Inequalities in Reflexive Banach Spaces
Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018 This paper aims to discuss the solvability of some perturbed generalized variational inequalities with both the mapping and the constraint set perturbed simultaneously in reflexive Banach spaces, under some coercivity conditions. In particular, a new result that the set is directional perturbed is presented.
Xue-ping Luo, Adrian Petrusel
wiley +1 more source
Tight embeddability of proper and stable metric spaces [PDF]
, 2015 We introduce the notions of almost Lipschitz embeddability and nearly isometric embeddability. We prove that for $p\in [1,\infty]$, every proper subset of $L_p$ is almost Lipschitzly embeddable into a Banach space $X$ if and only if $X$ contains ...
Baudier, Florent, Lancien, Gilles
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Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015 We provide existence results for a fractional differential inclusion with nonlocal conditions and impulses in a reflexive Banach space. We apply a technique based on weak topology to avoid any kind of compactness assumption on the nonlinear term. As an example we consider a problem in population dynamic described by an integro‐partial‐differential ...
Irene Benedetti +3 more
wiley +1 more source
Investigations in Hadamard spaces [PDF]
, 2020 Kjo tezë e doktoratës hulumton ndërveprimin midis gjeometrisë dhe analizës konvekse në hapësirat Hadamard. E motivuar nga aplikime të shumta të gjeometrisë CAT(0), puna jonë bazohet në rezultatet e shumë autorëve të mëparshëmnë mbi analizën konvekse dhe ...
Bërdëllima, Arian
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