Results 11 to 20 of about 1,488,319 (298)
Partial Regularity for BV Minimizers [PDF]
Archive for Rational Mechanics and Analysis, 2018 We establish an $\varepsilon$-regularity result for the derivative of a map of bounded variation that minimizes a strongly quasiconvex variational integral of linear growth, and, as a consequence, the partial regularity of such BV minimizers. This result extends the regularity theory for minimizers of quasiconvex integrals on Sobolev spaces to the ...
Gmeineder, F, Kristensen, J
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Partial regularity and potentials [PDF]
Journal de l’École polytechnique — Mathématiques, 2016 We connect classical partial regularity theory for elliptic systems to Nonlinear Potential Theory of possibly degenerate equations. More precisely, we find a potential theoretic version of the classical ε -regularity criteria leading to regularity ...
Mingione, Giuseppe, Kuusi, Tuomo
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Partial regularity for $$\omega $$-minimizers of quasiconvex functionals [PDF]
Calculus of Variations and Partial Differential Equations, 2022 AbstractWe establish partial regularity for the$$\omega $$ω-minimizers of quasiconvex functionals of power growth. A first-order partial regularity result ofBV$$\omega $$ω-minimizers is obtained in the linear growth case under a Dini-type condition on$$\omega $$ω.
Li, Zhuolin
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Traces, extensions, co-normal derivatives and solution regularity of elliptic systems with smooth and non-smooth coefficients [PDF]
, 2009 For functions from a Sobolev space, definitions of non-unique generalised and unique canonical co-normal derivative are considered, which are related to possible extensions of a partial differential operator and its right hand side from the domain ...
Mikhailov, SE
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Boundary regularity results for minimisers of convex functionals with (p, q)-growth
Advances in Nonlinear Analysis, 2023 We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data.
Irving Christopher, Koch Lukas
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Scientific African, 2023 Let [n]={1,2,…,n} be a finite chain and let Pn be the semigroup of partial transformations on [n]. Let CPn={α∈Pn:(for allx,y∈Domα)|xα−yα|≤|x−y|} be the semigroup of partial contractions on [n]. Then CPn is a subsemigroup of Pn.
Bashir Ali +2 more
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Partial regularity and amplitude [PDF]
American Journal of Mathematics, 2006 The author continues the study of Frobenius amplitude, introduced in an earlier paper, and compares this to various other positivity notions. These are applied to deduce vanishing theorems. A refinement of Castelnuovo-Mumford regularity is also given.
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Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation [PDF]
, 2013 In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity.
Tran, Chuong Van +5 more
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Regularity for a Nonlinear Discontinuous Subelliptic System with Drift on the Heisenberg Group
Advances in Mathematical Physics, 2022 In this paper, we prove the partial Hölder regularity of weak solutions and the partial Morrey regularity to horizontal gradients of weak solutions to a nonlinear discontinuous subelliptic system with drift on the Heisenberg group by the A-harmonic ...
Junli Zhang, Jialin Wang
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Partial regularity for a Liouville system
Discrete and Continuous Dynamical Systems, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dávila Bonczos, Juan, Goubet, Olivier
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