The Neumann problem for some degenerate elliptic equations [PDF]
, 2006 summary:In the paper we study the equation $Lu=f$, where $L$ is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set ${\Omega }$.
Cavalheiro, Albo Carlos
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Higher order energy expansions for some singularly perturbed Neumann problems [PDF]
, 2003 We consider the following singularly perturbed semilinear elliptic problem: \epsilon^{2} \Delta u - u + u^p=0 \ \ \mbox{in} \ \Omega, \quad u>0 \ \ \mbox{in} \ \ \Omega \quad \mbox{and} \ \frac{\partial u}{\partial \nu} =0 \ \mbox{on} \ \partial \
Winter, M +5 more
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On a viscous fourth-order parabolic equation with boundary degeneracy
Boundary Value Problems, 2022 A viscous fourth-order parabolic equation with boundary degeneracy is studied. By using the variational method, the existence of a time-discrete fourth-order elliptic equation with homogeneous boundary conditions is solved.
Bo Liang +4 more
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Solution of the Basic Boundary Value Problems for a Degenerate Elliptic Equation by the Method of Potentials [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Fundamental solutions to a degenerate elliptic equation are found. Using these fundamental solutions, simple and double layer potentials are built.
R.M. Askhatov, R.N. Abaydullin
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A double inverse problem for Fredholm integro-differential equation of elliptic type
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
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Regularity properties of degenerate convolution-elliptic equations [PDF]
, 2016 The coercive properties of degenerate abstract convolution-elliptic equations are investigated. Here we find sufficient conditions that guarantee the separability of these problems in Lp spaces.
Shakhmurov, Veli B. +4 more
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On a class of degenerate elliptic equations [PDF]
Nagoya Mathematical Journal, 1974 We shall prove in Chapter I the hypoellipticity for a class of degenerate elliptic operators of higher order. Chapter II will be devoted to the consideration of the regularity at the boundary for the solutions of general boundary problems for the equations considered in Chapter I being restricted to the second order.
Hashimoto, Yoshiaki, Matsuzawa, Tadato
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BOUNDARY VALUE PROBLEM FOR A DEGENERATE ELLIPTIC EQUATION
, 2019 The existence and uniqueness of the solution of a boundary value problem for a degenerate elliptic equation is ...
Shokirov, Asrorjon
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Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations
Abstract and Applied Analysis, 2004 We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying ...
Albo Carlos Cavalheiro
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Homogenization of periodic elliptic degenerate PDEs with non-linear Neumann boundary condition
Partial Differential Equations in Applied Mathematics, 2021 In this paper, a semi-linear elliptic partial differential equation (PDE) with non linear Neumann boundary condition and rapidly oscillating coefficients is homogenized.
Mohamed Marzougue, Ibrahima Sane
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