Results 41 to 50 of about 444 (158)
Electronic Journal of Qualitative Theory of Differential Equations, 2019 We study the boundedness of the sublinear integral operators generated by Calderón–Zygmund operator and their commutators with $\mathit{BMO}$ functions on generalized Morrey spaces.
Tahir Gadjiev +2 more
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PARABOLIC Lp DIRICHLET BOUNDARY VALUE PROBLEM AND VMO-TYPE TIME-VARYING DOMAINS [PDF]
, 2020 We prove the solvability of the parabolic Lp Dirichlet boundary value problem for 1 < p ≤1 for a PDE of the form ut = div(Aru) + B · ru on time-varying domains where the coefficients A = [aij (X, t)] and B = [bi] satisfy a certain natural small ...
Hwang, Sukjung +2 more
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Abstract and Applied Analysis, 2014 Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
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Holder continuity for vector-valued minimizers of quadratic functionals
Electronic Journal of Differential Equations, 2020 In this article we give a sufficient condition for interior everywhere Holder continuity of weak minimizers of a class of quadratic functionals with coefficients $A_{ij}^{\alpha\beta}(\cdot,u)$ belonging to the VMO-class, uniformly with respect to $u\
Josef Danecek, Eugen Viszus
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The cauchy-dirichlet problem for parabolic equations with VMO coefficients
Mathematical and Computer Modelling, 2005 The paper deals with the \(W^{2,1}_p(Q_T)\)-regularity and solvability of the Cauchy-Dirichlet problem for linear second-order, uniformly parabolic equations of the form \[ {\mathcal L}u\equiv \partial_tu- \sum_{i,j=1}^n a_{ij}(x)u_{x'_ix'_j}+ \sum_{i=1}^n b_i(x)u_{x'_i} +cu=f \] with \(x=(x',t)\) lying in the cylinder \(Q_T=\Omega\times(0,T)\subset ...
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Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients
Rendiconti Lincei, Matematica e Applicazioni, 2021 We consider a non-coercive vectorial boundary value problem with non smooth coefficients and a drift term and we study the regularity of a solution u and its gradient in the framework of suitable Morrey spaces.
Giuseppa Rita Cirmi +2 more
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Mean oscillation gradient estimates for elliptic systems in divergence form with VMO coefficients
, 2022 We consider gradient estimates for $H^1$ solutions of linear elliptic systems in divergence form $\partial_\alpha(A_{ij}^{\alpha\beta} \partial_\beta u^j) = 0$.
Luc Nguyen, Nguyen, Luc
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Bounds for elliptic operators in weighted spaces
Journal of Inequalities and Applications, 2006 Some estimates for solutions of the Dirichlet problem for second-order elliptic equations are obtained in this paper. Here the leading coefficients are locally VMO functions, while the hypotheses on the other coefficients and the boundary conditions ...
Caso Loredana
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Non stationary Venttsel problem with VMO_x leading coefficients
, 2023 We study the strong solvability of the linear parabolic Venttsel problem with partially VMO principal ...
D. K. Palagachev +7 more
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Electronic Journal of Differential Equations, 2015 In this article, we consider quasi-linear elliptic systems in divergence form with discontinuous coefficients under controllable growth. We establish an optimal partial regularity of the weak solutions by a modification of A-harmonic approximation ...
Haiyan Yu, Shenzhou Zheng
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