A Practical Finite Element Approximation of a Semi-Definite Neumann Problem on a Curved Domain.
A preconditioner for the FETI-DP method for mortar-type Crouzeix-Raviart element discretization
In this paper, we consider mortar-type Crouzeix-Raviart element discretizations for second order elliptic problems with discontinuous coefficients. A preconditioner for the FETI-DP method is proposed. We prove that the condition number of the preconditioned operator is bounded by , where and are mesh sizes. Finally, numerical tests are presented to verify the theoretical results.
A predator-prey model with combined death and competition terms
The existence of a positive solution for the generalized predator-prey model for two species are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.
A Primal Hybrid Finite Element Method for Quasilinear Second Order Elliptic Problems.
A priori Bounds and necessary conditions for solvability of prescribed curvature equations.
A priori bounds and renormalized Morse indices of solutions of an elliptic system
A priori bounds for positive radial solutions of quasilinear equations of Lane–Emden type
We consider the quasilinear equation , and present the proof of the local existence of positive radial solutions near under suitable conditions on . Moreover, we provide a priori estimates of positive radial solutions near when for is bounded near .
A priori bounds for solutions of parabolic problems and applications
We review some recent results concerning a priori bounds for solutions of superlinear parabolic problems and their applications.
A priori bounds for solutions of parabolic problems and applications
A priori error analysis of a fully-mixed finite element method for a two-dimensional fluid-solid interaction problem
We introduce and analyze a fully-mixed finite element method for a fluid-solid interaction problem in 2D. The model consists of an elastic body which is subject to a given incident wave that travels in the fluid surrounding it. Actually, the fluid is supposed to occupy an annular region, and hence a Robin boundary condition imitating the behavior of the scattered field at infinity is imposed on its exterior boundary, which is located far from the obstacle. The media are governed by the elastodynamic...
A Priori Estimates and a Liouvielle Theorem for Complex Monge-Ampère Equations.
A Priori Estimates and a Liouville Theorem for Elliptic Monge-Ampère Equations.
A priori estimates for global solutions and multiple equilibria of a superlinear parabolic problem involving measures.
A Priori estimates for minimal surfaces with free boundary, which are not minima of the area.
A priori estimates for quasilinear parabolic systems with quadratic nonlinearities in the gradient
We derive local a priori estimates of the Hölder norm of solutions to quasilinear elliptic systems with quadratic nonlinearities in the gradient. We assume higher integrability of solutions and smallness of its BMO norm but the Hölder norm is estimated in terms of BMO norm of the solution under consideration, only.
A priori estimates for solutions of fully nonlinear special lagrangian equations
A priori estimates in weighted spaces for solutions of the Poisson and heat equations
We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.
A priori estimates of solutions of superlinear problems
In this survey we consider superlinear parabolic problems which possess both blowing-up and global solutions and we study a priori estimates of global solutions.
A priori inequalities in for solutions of elliptic equations in unbounded domains
A priori interior gradient bounds for solutions to elliptic Weingarten equations