Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
Electronic Journal of Differential Equations, 2006 We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Mostafa Bendahmane, Kenneth H. Karlsen
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Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
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Coerciveness and isomorphism of discontinuous Sturm-Liouville problems with transmission conditions
Journal of New Results in ScienceThis study investigates a discontinuous Sturm-Liouville boundary value problem(BVP) on two intervals with functionals and transmission conditions in the direct sum ofSobolev spaces. Moreover, it presents the differential operator generated by the problem
Murat Küçük, Mustafa Kandemir
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The refinement and generalization of Hardy's inequality in Sobolev space. [PDF]
J Inequal Appl, 2018 Xue X, Li F.
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An estimate on the Bedrosian commutator in Sobolev space. [PDF]
J Inequal Appl, 2018 Oliver M.
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Probabilistic linear widths of Sobolev space with Jacobi weights on [Formula: see text]. [PDF]
J Inequal Appl, 2017 Zhai X, Hu X.
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A Sobolev space and a Darboux problem [PDF]
Pacific Journal of Mathematics, 1977 openaire +3 more sources
Resolvent estimates for elliptic systems in function spaces of higher regularity
Electronic Journal of Differential Equations, 2011 We consider parameter-elliptic boundary value problems and uniform a priori estimates in $L^p$-Sobolev spaces of Bessel potential and Besov type. The problems considered are systems of uniform order and mixed-order systems (Douglis-Nirenberg systems).
Robert Denk, Michael Dreher
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Existence of solutions to Burgers equations in domains that can be transformed into rectangles
Electronic Journal of Differential Equations, 2016 This work is concerned with Burgers equation $\partial _{t}u+u\partial_x u-\partial _x^2u=f$ (with Dirichlet boundary conditions) in the non rectangular domain $\Omega =\{(t,x)\in R^2 ...
Yassine Benia, Boubaker-Khaled Sadallah
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Compactness of the canonical solution operator on Lipschitz q-pseudoconvex boundaries
Electronic Journal of Differential Equations, 2019 Let $\Omega\subset\mathbb{C}^n$ be a bounded Lipschitz q-pseudoconvex domain that admit good weight functions. We shall prove that the canonical solution operator for the $\overline{\partial}$-equation is compact on the boundary of $\Omega$ and is ...
Sayed Saber
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