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AIP Conference Proceedings, ISSN 0094-243X, 12/2019, Volume 2192, Issue 1
We study the local Hölder regularity of weak solutions for evolutional p-Laplacian systems in the degenerate case. Here, we treat the local Hölder regularity... 
Regularity
Journal Article
AIP Conference Proceedings, ISSN 0094-243X, 01/2017, Volume 1798, Issue 1
Our main goal is the study some regularity results where are considered estimates in Morrey spaces for the derivatives of local minimizers of variational... 
Regularity
Journal Article
Random structures & algorithms, ISSN 1042-9832, 03/2020, Volume 56, Issue 2, pp. 306 - 338
Advancing the sparse regularity method, we prove one‐sided and two‐sided regularity inheritance lemmas for subgraphs of bijumbled graphs, improving on results... 
Szemerédi's regularity lemma | counting lemma | pseudorandom graphs | sparse regularity lemma | regularity inheritance | Physical Sciences | Technology | Computer Science | Mathematics | Computer Science, Software Engineering | Mathematics, Applied | Science & Technology | Graphs | Inheritances | Graph theory | Regularity | Pseudorandom
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2019, Volume 266, Issue 6, pp. 3654 - 3678
We consider the problem of maximal regularity for non-autonomous Cauchy problems {u (t)+A(t)u(t)=f(t),t∈(0,τ]u(0)=u . The time dependent operators A(t) are... 
Maximal regularity | Sobolev regularity | Non-autonomous evolution equations
Journal Article
Jilin da xue xue bao, ISSN 1671-5489, 01/2019, Issue 3, p. 535
The homotopy method is used to discuss the existence of the solution of linear complementarity problem. Firstly, the absolute value equation equivalent to the... 
Regularity
Journal Article
Advances in nonlinear analysis, ISSN 2191-950X, 03/2019, Volume 9, Issue 1, pp. 176 - 192
In this paper we study on smooth bounded domains the global regularity (up to the boundary) for weak solutions to systems having -structure depending only on... 
35D35 | Regularity of weak solutions | boundary regularity | symmetric gradient | 35Q35 | 76A05 | natural quantities | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Analysis of PDEs | regularity of weak solutions | 76a05 | 35q35 | 35d35
Journal Article
Journal of mathematical sciences (New York, N.Y.), ISSN 1072-3374, 7/2018, Volume 232, Issue 3, pp. 390 - 401
We construct a solenoidal vector field u belonging to W2,qΩ∩W01,sΩ,q∈1n,s∈1∞ $$ {W}^{2,q}\left(\Omega \right)\cap {W}_0^{1,s}\left(\Omega \right),q\in... 
Mathematics, general | Mathematics
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 07/2020, Volume 269, Issue 2, pp. 1117 - 1171
In this work, we investigate the Cauchy problem for the spatially inhomogeneous non-cutoff Kac equation. If the initial datum belongs to the spatially critical... 
Inhomogeneous Kac equation | Gevrey regularity | Gelfand-Shilov regularity | Critical Besov space | Physical Sciences | Mathematics | Science & Technology
Journal Article
St. Petersburg Mathematical Journal, ISSN 1061-0022, 06/2016, Volume 27, Issue 3, pp. 347 - 379
The class of non-autonomous functionals under study is characterized by the fact that the energy density changes its ellipticity and growth properties... 
Hölder regularity of minimizers | Functionals with nonstandard growth | Physical Sciences | Mathematics | Science & Technology
Journal Article
Annali di matematica pura ed applicata, ISSN 0373-3114, 10/2017, Volume 196, Issue 5, pp. 1637 - 1668
Journal Article
Nonlinear analysis, ISSN 0362-546X, 07/2012, Volume 75, Issue 11, pp. 4346 - 4354
We consider the Dirichlet boundary value problem for nonlinear N-systems of partial differential equations with p-growth, 1 p-Laplacian systems | Regularity up to the boundary | Full regularity
Journal Article
Optimization, ISSN 1029-4945, 06/2015, Volume 65, Issue 2, pp. 369 - 385
Journal Article
International journal of applied and computational mathematics, ISSN 2349-5103, 06/2017, Volume 3, Issue 2, pp. 1121 - 1141
Journal Article
Journal of functional analysis, ISSN 0022-1236, 07/2015, Volume 269, Issue 2, pp. 459 - 535
We consider the spatially inhomogeneous non-cutoff Kac's model of the Boltzmann equation. We prove that the Cauchy problem for the fluctuation around the... 
Gevrey regularity | Gelfand–Shilov regularity | Hypoellipticity | Kac equation | Gelfand-Shilov regularity | Physical Sciences | Mathematics | Science & Technology | Analysis of PDEs
Journal Article
Computer methods in applied mechanics and engineering, ISSN 0045-7825, 04/2018, Volume 332, pp. 136 - 156
Singularities of a surface’s geometric mapping (or parametrization) are often unavoidable, especially when a complex surface is considered. In isogeometric... 
Isogeometric analysis | The spherical parametrization | Singular surface parametrizations | The [formula omitted]-regularity | The H | regularity
Journal Article