On the Asymptotic Behavior of D-Solutions to the Displacement Problem of Linear Elastostatics in Exterior Domains [PDF]
, 2020 We study the asymptotic behavior of solutions with finite energy to the displacement problem of linear elastostatics in a three-dimensional exterior Lipschitz ...
Coscia, Vincenzo
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On the existence and multiplicity of topologically twisting incompressible $H$-harmonic maps and a structural H-condition [PDF]
, 2020 No description ...
Morrison, George, Taheri, Ali
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$L^p$ solvability of the Stationary Stokes problem on domains with conical singularity in any dimension [PDF]
, 2010 The Dirichlet boundary value problem for the Stokes operator with $L^p$ data in any dimension on domains with conical singularity (not necessary a Lipschitz graph) is considered.
Dindoš, Martin, Maz'ya, Vladimir
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An Efficient Method For Solving Highly Anisotropic Elliptic Equations [PDF]
, 2011 Solving elliptic PDEs in more than one dimension can be a computationally expensive task. For some applications characterised by a high degree of anisotropy in the coefficients of the elliptic operator, such that the term with the highest derivative in ...
Alberto Scotti +19 more
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Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains [PDF]
, 2014 We provide new results on the existence, non-existence, localization and multiplicity of nontrivial solutions for systems of Hammerstein integral equations.
Infante, Gennaro, Pietramala, Paolamaria
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Semilinear elliptic systems with measure data [PDF]
, 2013 We study the Dirichlet problem for systems of the form -\Delta u^k=f^k(x,u)+\mu^k, x\in\Omega, k=1,...,n, where \Omega\subset R^d$ is an open (possibly nonregular) bounded set, \mu^1,...,\mu^n are bounded diffuse measures on \Omega, f=(f^1,...,f^n ...
Klimsiak, Tomasz
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Nonzero Positive Solutions of Elliptic Systems with Gradient Dependence and Functional BCs
Advanced Nonlinear Studies, 2020 We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities.
Biagi Stefano +2 more
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A $C^1$ regularity result for the inhomogeneous normalized infinity Laplacian [PDF]
, 2015 We prove that the unique solution to the Dirichlet problem with constant source term for the inhomogeneous normalized infinity Laplacian on a convex domain of $\mathbb{R}^N$ is of class $C^1$. The result is obtained by showing as an intermediate step the
Crasta, Graziano, Fragalà, Ilaria
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Raviart Thomas Petrov-Galerkin Finite Elements
, 2017 The general theory of Babu\v{s}ka ensures necessary and sufficient conditions for a mixed problem in classical or Petrov-Galerkin form to be well posed in the sense of Hadamard.
F Dubois +5 more
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Nonzero positive solutions of a multi-parameter elliptic system with functional BCs
, 2017 We prove, by topological methods, new results on the existence of nonzero positive weak solutions for a class of multi-parameter second order elliptic systems subject to functional boundary conditions. The setting is fairly general and covers the case of
Infante, Gennaro
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