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The Dirichlet Problem for Elliptic Equations with VMO Coefficients in Generalized Morrey Spaces
2013We consider the Dirichlet problem in a bounded smooth domain \( \Omega \subset \mathbb{R}^{n} \) for linear uniformly elliptic equation \( \mathfrak{L}u(x)=f(x) \) with VMO principal coefficients. Its unique strong solvability is proved in [5] and [6]. Our aim is to show that for every f belonging to the generalized Morrey space \( L^{p,\omega}(\Omega),
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\(L^p\) estimates for nonvariational hypoelliptic operators with \(VMO\) coefficients
2000The authors consider differential operators of the type: \[ L=\sum^q_{i=1}a_{ij}(x)X_iX_j, \] where the real-valued coefficients \(a_{ij}\in L^\infty\), the real smooth vector fields \(X_i\), \(1\leq i\leq q\) satisfy Hörmander's condition for hypoellipticicy and \(L\) is uniformly elliptic.
BRAMANTI, MARCO, L. Brandolini
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The Fredholm alternative for second-order linear elliptic systems with \(VMO\) coefficients
2015Summary: The family of second-order linear elliptic operators on the complex plane forms an open set in \(\mathbb{C}^6\) with exactly six components. Let \(E(\Delta)\) denote the component consisting of operators that are deformable to the Laplacian. The objective of this paper is the establishment of the Fredholm alternative for the equation \[ SW(z) =
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General Linear Boundary Value Problems for Elliptic Operators withVMO Coefficients
Mathematische Nachrichten, 2002Davide Guidetti
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Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients
Journal of Mathematical Analysis and Applications, 2017Zhong Tan
exaly
L∞-estimates for parabolic systems with VMO-coefficients
2010Heck, Horst +2 more
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