A note on the moving hyperplane method.
A note on the Poisson-Boltzmann equation
A note on the regularity of autonomous quasilinear elliptic and parabolic systems
A note on the regularity of the solutions to two variational inequalities involving a pseudodifferential operator.
A note on the shift theorem for the Laplacian in polygonal domains
We present a shift theorem for solutions of the Poisson equation in a finite planar cone (and hence also on plane polygons) for Dirichlet, Neumann, and mixed boundary conditions. The range in which the shift theorem holds depends on the angle of the cone. For the right endpoint of the range, the shift theorem is described in terms of Besov spaces rather than Sobolev spaces.
A Note on the Uniqueness and Structure of Solutions to the Dirichlet Problem for Some Elliptic Systems
In this note, we consider some elliptic systems on a smooth domain of . By using the maximum principle, we can get a more general and complete results of the identical property of positive solution pair, and thus classify the structure of all positive solutions depending on the nonlinarities easily.
A note on the variational structure of an elliptic system involving critical Sobolev exponent.
A note on very weak -harmonic mappings.
A note on estimates for quasilinear parabolic equations.
A note to a bifurcation result of H. Kielhöfer for the wave equation
A modification of a classical number-theorem on Diophantine approximations is used for generalizing H. kielhöfer's result on bifurcations of nontrivial periodic solutions to nonlinear wave equations.
A note to the theory of periodic solutions of a parabolic equation
A numerical study on Neumann-Neumann methods for hp approximations on geometrically refined boundary layer meshes II. Three-dimensional problems
In this paper, we present extensive numerical tests showing the performance and robustness of a Balancing Neumann-Neumann method for the solution of algebraic linear systems arising from hp finite element approximations of scalar elliptic problems on geometrically refined boundary layer meshes in three dimensions. The numerical results are in good agreement with the theoretical bound for the condition number of the preconditioned operator derived in [Toselli and Vasseur, IMA J. Numer. Anal.24 (2004)...
A parabolic analogue of Finn's maximum principle.
A parabolic quasilinear problem for linear growth functionals.
We prove existence and uniqueness of solutions for the Dirichlet problem for quasilinear parabolic equations in divergent form for which the energy functional has linear growth.
A parabolic system in a weighted Sobolev space
We examine the regularity of solutions of a certain parabolic system in the weighted Sobolev space , where the weight is of the form , r is the distance from a distinguished axis and μ ∈ (0,1).
A parametric variational principle for minimal surfaces of varying topological type.
A partial differential operator which is surjective on Gevrey classes with 1 ≤ d < 2 and d ≥ 6 but not for 2 ≤ d < 6
It is shown that the partial differential operator is surjective if 1 ≤ d < 2 or d ≥ 6 and not surjective for 2 ≤ d < 6.
A pattern formation problem on the sphere.
A PDE approach to certain large deviation problems for systems of parabolic equations
A perturbation problem with two small parameters in the framework of the heat conduction of a fiber reinforced body