Results 11 to 20 of about 2,479 (310)
An elliptic problem with two singularities [PDF]
Asymptotic Analysis, 2012 We study a Dirichlet problem for an elliptic equation defined by a degenerate coercive operator and a singular right-hand side. We will show that the right-hand side has some regularizing effects on the solutions, even if it is singular.
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Combined Effects in Singular Elliptic Problems in Punctured Domain
Journal of Function Spaces, 2021 The paper deals with nonlinear elliptic differential equations subject to some boundary value conditions in a regular bounded punctured domain. By means of properties of slowly regularly varying functions at zero and the Schauder fixed-point theorem, we ...
Imed Bachar +2 more
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On a degenerate singular elliptic problem
Mathematische Nachrichten, 2022 AbstractIn this article we provide existence, uniqueness and regularity results of a degenerate singular elliptic boundary value problem whose prototype is given by where Ω is a bounded smooth domain in with , w belongs to the Muckenhoupt class for some , f is a nonnegative function belonging to some Lebesgue space and .
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A singularly perturbed semilinear reaction-diffusion problem in a polygonal domain [PDF]
, 2009 The semilinear reaction-di®usion equation ¡"24u+b(x; u) = 0 with Dirichlet bound-ary conditions is considered in a convex polygonal domain. The singular perturbation parameter ε is arbitrarily small, and the “reduced equation” b(x, u0 (x)) = 0 may have ...
Kellogg, R. Bruce +3 more
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Comparison results for a nonlocal singular elliptic problem
Asymptotic Analysis, 2023 We provide symmetrization results in the form of mass concentration comparisons for fractional singular elliptic equations in bounded domains, coupled with homogeneous external Dirichlet conditions. Two types of comparison results are presented, depending on the summability of the right-hand side of the equation.
Brandolini, Barbara +3 more
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Estimates of singular numbers (s-numbers) for a class of degenerate elliptic operators [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 In this paper we study a class of degenerate elliptic equations with an arbitrary power degeneracy on the line. Based on the research carried out in the course of the work, the authors propose methods to overcome various difficulties associated with the
S.Zh. Igisinov +3 more
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Regularity results for singular elliptic problems
Journal of Function Spaces and Applications, 2006 Some local and global regularity results for solutions of linear elliptic equations in weighted spaces are proved. Here the leading coefficients are VMO functions, while the hypotheses on the other coefficients and the boundary conditions involve a ...
Loredana Caso
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The Wente problem for a singular elliptic equation
Journal of Mathematical Analysis and Applications, 2003 The Jacobian det∇u of some vector field u belonging to W 1,n(Rn,Rn) plays a particular role in various partial differential equation arising from calculus of variations, mechanics, and geometry. Although det∇u is only integrable, but due to its special structure this quantity has some suitable regularity properties. Recently in [8], Coifman et al. have
Baraket, Sami, Bazarbacha, Imen
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Singular elliptic problems with Dirichlet or mixed Dirichlet-Neumann non-homogeneous boundary conditions [PDF]
Opuscula Mathematica, 2022 Let \(\Omega\) be a \(C^{2}\) bounded domain in \(\mathbb{R}^{n}\) such that \(\partial\Omega=\Gamma_{1}\cup\Gamma_{2}\), where \(\Gamma_{1}\) and \(\Gamma_{2}\) are disjoint closed subsets of \(\partial\Omega\), and consider the problem\(-\Delta u=g ...
Tomas Godoy
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Dirichlet problems for singular elliptic equations [PDF]
Proceedings of the American Mathematical Society, 1973 Boundary value problems are formulated for the equation \[ ( ∗
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