A remark on some nonlinear elliptic problems.
A remark on the bifurcation diagrams of superlinear elliptic equations
We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
A remark on the blowup of solutions to the Laplace equations with nonlinear dynamical boundary conditions.
A remark on the existence of large solutions via sub and supersolutions.
A Remark on the L... Bounds of the Ritz Operator Associated with a Finite Element Approximation.
A Remark on the Preceding paper of Fucik and Krbec.
A remark on the solvability of the Dirichlet problem in Sobolev spaces with power-type weights
A remark on two dimensional periodic potentials.
A remark on uniqueness for quasilinear elliptic equations
A Remark to a Paper of Kato and Ikebe.
A representation formula for radially weighted biharmonic functions in the unit disc.
A result on the bifurcation from the principal eigenvalue of the -Laplacian.
A Right-Inverse for the Divergence Operator in Spaces of Piecewise Polynomials. Application to the p-Version of the Finite Element Method
A robust and parallel multigrid method for convection diffusion equations.
A saddle point theorem for non-smooth functionals and problems at resonance.
A second eigenvalue bound for the Dirichlet-Schrödinger equation with a radially symmetric potential.
A second-order finite volume element method on quadrilateral meshes for elliptic equations
In this paper, by use of affine biquadratic elements, we construct and analyze a finite volume element scheme for elliptic equations on quadrilateral meshes. The scheme is shown to be of second-order in -norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method.
A second-order finite volume element method on quadrilateral meshes for elliptic equations
In this paper, by use of affine biquadratic elements, we construct and analyze a finite volume element scheme for elliptic equations on quadrilateral meshes. The scheme is shown to be of second-order in H1-norm, provided that each quadrilateral in partition is almost a parallelogram. Numerical experiments are presented to confirm the usefulness and efficiency of the method.
A semilinear control problem involving homogenization.
A semi-linear elliptic equation in a strip arising in a two-dimensional flame propagation model.