Results 1 to 10 of about 15,411,558 (330)
Higher integrability for anisotropic parabolic systems of p-Laplace type
Advances in Nonlinear Analysis, 2023 In this article, we consider anisotropic parabolic systems of pp-Laplace type. The model case is the parabolic pi{p}_{i}-Laplace system ut−∑i=1n∂∂xi(∣Diu∣pi−2Diu)=0{u}_{t}-\mathop{\sum }\limits_{i=1}^{n}\frac{\partial }{\partial {x}_{i}}({| {D}_{i}u| }^{{
Mons Leon
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Higher integrability for doubly nonlinear parabolic systems. [PDF]
SN Partial Differ Equ Appl, 2022 In this paper we establish a local higher integrability result for the spatial gradient of weak solutions to doubly nonlinear parabolic systems. The proof is based on a new intrinsic scaling that involves both the solution and its spatial gradient.
Bögelein V, Duzaar F, Scheven C.
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Higher Poincare Lemma and Integrability [PDF]
Journal of Mathematical Physics, 2015 We prove the non-abelian Poincare lemma in higher gauge theory in two different ways. The first method uses a result by Jacobowitz which states solvability conditions for differential equations of a certain type.
Baez J. C. +4 more
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The higher integrability of weak solutions of porous medium systems
Advances in Nonlinear Analysis, 2018 In this paper we establish that the gradient of weak solutions to porous medium-type systems admits the self-improving property of higher integrability.
Bögelein Verena +3 more
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Quasiregular curves: Hölder continuity and higher integrability [PDF]
Complex Analysis and its Synergies, 2021 We show that a $K$-quasiregular $ $-curve from a Euclidean domain to a Euclidean space with respect to a covector $ $ is locally $(1/K)(\lVert \rVert/| |_{\ell_1})$-H lder continuous. We also show that quasiregular curves enjoy higher integrability.
Jani Onninen, Pekka Pankka
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Global higher integrability for very weak solutions to nonlinear subelliptic equations
Boundary Value Problems, 2017 In this paper we consider the following nonlinear subelliptic Dirichlet problem: { X ∗ A ( x , u , X u ) + B ( x , u , X u ) = 0 , x ∈ Ω , u − u 0 ∈ W X , 0 1 , r ( Ω ) , $$ \textstyle\begin{cases} X^{*}A(x,u,Xu)+ B(x,u,Xu)=0,& x\in\Omega,\\ u-u_{0}\in ...
Guangwei Du, Junqiang Han
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Higher Integrability for Very Weak Solutions of Inhomogeneous A-Harmonic Form Equations
Journal of Applied Mathematics, 2014 The higher integrability for very weak solutions of A-harmonic form equations d*A(x,u,du)=B(x,u,du) has been proved.
Yuxia Tong, Shenzhou Zheng, Jiantao Gu
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Higher Order Integrability in Generalized Holonomy [PDF]
Nuclear Physics B, 2004 Supersymmetric backgrounds in M-theory often involve four-form flux in addition to pure geometry. In such cases, the classification of supersymmetric vacua involves the notion of generalized holonomy taking values in SL(32,R), the Clifford group for ...
A. Batrachenko +24 more
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Gradient higher integrability for singular parabolic double-phase systems [PDF]
Nonlinear Differential Equations and Applications NoDEA, 2023 We prove a local higher integrability result for the gradient of a weak solution to parabolic double-phase systems of p-Laplace type when 2nn ...
Wontae Kim, Lauri Särkiö
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Gradient Higher Integrability for Degenerate Parabolic Double-Phase Systems [PDF]
Archive for Rational Mechanics and Analysis, 2022 We prove a local higher integrability result for the gradient of a weak solution to degenerate parabolic double-phase systems of p-Laplace type. This result comes with reverse Hölder type estimates.
Wontae Kim, J. Kinnunen, Kristian Moring
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