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Carleman estimates and unique continuation property for elliptic operators in Banach spaces
V. Shakhmurov
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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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Communications in Computational Physics, 2019
This paper is concerned with unconditionally optimal error estimate of the linearized Galerkin finite element method for solving the two-dimensional and threedimensional Kuramoto-Tsuzuki equations, while the classical analysis for these nonlinear ...
Dongfang Li
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This paper is concerned with unconditionally optimal error estimate of the linearized Galerkin finite element method for solving the two-dimensional and threedimensional Kuramoto-Tsuzuki equations, while the classical analysis for these nonlinear ...
Dongfang Li
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Removable singularities for elliptic equations with $(p,q)$-growth conditions
Differential and Integral Equations, 2018For solutions of a class of divergence type quasilinear elliptic equations with (p, q)-growth conditions we establish the condition for removability of singularity on manifolds. 1991 Mathematics Subject Classification. 35B45, 35J60.
Yuliya V. Namlyeyeva, I. Skrypnik
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W2,p-Regularity of Lp Viscosity Solutions to Fully Nonlinear Elliptic Equations with Low-Order Terms
Journal of Advances in Applied & Computational MathematicsIn this paper, we consider the following fully nonlinear elliptic equation F(D2u, Du, x) = f(x), where the operator F satisfies structure condition and the gradient of solution has ...
Shuhan Hao, Yao Zhang, Zhenqiu Zhang
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Improved Stability Estimates for Classes of Illposed Cauchy Problems
, 1985L. Payne
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Second Order Estimates for Non-concave Hessian Type Elliptic Equations on Riemannian Manifolds
, 2015H. Jiao
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