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AN APPROXIMATION THEOREM FOR SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS
A. C. Cavalheiro
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Existence of solutions for the coupled systems of second and fourth order elliptic equations
Lei Ji, Chunlei Tang
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Ground states for asymptotically periodic Schrödinger-Poisson systems with critical growth
Zhang Hui+3 more
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On phase segregation in nonlocal two-particle Hartree systems
Aschbacher Walter, Squassina Marco
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Strongly indefinite systems with critical Sobolev exponents
J. Hulshof, E. Mitidieri, R. Vandervorst
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Regular solutions of elliptic boundary-value problems with discontinuous nonlinearities
M. Lepchinskiĭ, V. N. Pavlenko
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A Weak Galerkin Finite Element Method for $p$-Laplacian Problem
East Asian Journal on Applied Mathematics, 2021In this paper, we introduce a weak Galerkin (WG) finite element method for p-Laplacian problem on general polytopal mesh. The quasi-optimal error estimates of the weak Galerkin finite element approximation are obtained. The numerical examples confirm the
Xiuxiu Zhang
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A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes
Communications in Computational Physics, 2019In this paper, we present a simple a posteriori error estimate for the weak Galerkin (WG) finite element method for a model second order elliptic equation.
Hengguang Li
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A Weak Galerkin Finite Element Method for the Linear Elasticity Problem in Mixed Form
Journal of Computational Mathematics, 2018In this paper, we use the weak Galerkin (WG) finite element method to solve the mixed form linear elasticity problem. In the mixed form, we get the discrete of proximation of the stress tensor and the displacement field. For the WG methods, we define the
Rui Zhang
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