Results 11 to 20 of about 444 (158)
Interior regularity of obstacle problems for nonlinear subelliptic systems with VMO coefficients [PDF]
Journal of Inequalities and Applications, 2018 This article is concerned with an obstacle problem for nonlinear subelliptic systems of second order with VMO coefficients. It is shown, based on a modification of A-harmonic approximation argument, that the gradient of weak solution to the corresponding
Guangwei Du, Fushan Li
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Advances in Nonlinear Analysis, 2020 We consider nonlinear sub-elliptic systems with VMO-coefficients for the case 1 < p < 2 under controllable growth conditions, as well as natural growth conditions, respectively, in the Heisenberg group.
Jialin Wang, Dongni Liao
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On the Regularity of Solutions to an Adjoint Elliptic Equation with Partially VMO Coefficients [PDF]
Journal of Function Spaces and Applications, 2012 We establish, in dimension two, a regularity result for nonnegative solutions to an adjoint elliptic equation, generalizing a previous result of Escauriaza (1994).
Teresa Alberico
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Parabolic equations with VMO coefficients in Morrey spaces [PDF]
Electronic Journal of Differential Equations, 2001 Global regularity in Morrey spaces is derived for the regular oblique derivative for linear uniformly parabolic operators. The principal coefficients of the operator are supposed to be discontinuous, belonging to Sarason's class of functions with ...
Lubomira G. Softova
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Boundary Value Problems, 2023 In this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential p ≥ 2 $p\geq 2$ , the regularity results of the partial Hölder continuity of weak solutions are ...
Yan Zhu, Jialin Wang, Dongni Liao
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An existence result for elliptic equations with VMO-coefficients
Journal of Mathematical Analysis and Applications, 2007 The paper deals with existence and uniqueness of solutions to the Dirichlet problem \[ \begin{cases} u\in W^{2,p}(\Omega)\cap W^{1,p}_0(\Omega),\cr Lu=f\in L^p(\Omega), \end{cases} \] with unbounded domain \(\Omega\subset \mathbb R^n,\) \(n\geq3,\) for the linear uniformly elliptic operator \[ L=-\sum_{i,j=1}^n a_{ij}{{\partial^2}\over{\partial x_i ...
CASO, Loredana +2 more
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Elliptic Venttsel problems with $VMO$ coefficients
Rendiconti Lincei, Matematica e Applicazioni, 2020 We announce new results about strong solvability of linear and quasilinear Venttsel boundary value problems with discontinuous principal coefficients.
Darya E. Apushkinskaya +3 more
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$L^p$ theory for fractional gradient PDE with $VMO$ coefficients [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2015 In this paper, we prove L^p estimates for the fractional derivatives of solutions to elliptic fractional partial differential equations whose coefficients are VMO ...
Armin Schikorra +2 more
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Regularity theory for nonlocal equations with VMO coefficients
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2022 We prove higher regularity for nonlinear nonlocal equations with possibly discontinuous coefficients of VMO type in fractional Sobolev spaces. While for corresponding local elliptic equations with VMO coefficients it is only possible to obtain higher integrability, in our nonlocal setting we are able to also prove a substantial amount of higher ...
Nowak, Simon Noah
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Improved Sobolev regularity for linear nonlocal equations with VMO coefficients [PDF]
Mathematische Annalen, 2022 AbstractThis work is concerned with both higher integrability and differentiability for linear nonlocal equations with possibly very irregular coefficients of VMO-type or even coefficients that are merely small in BMO. In particular, such coefficients might be discontinuous.
Nowak, Simon Noah
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