On the penalized obstacle problem in the unit half ball.
On the poles of the scattering matrix for two convex obstacles
On the qualitative theory of parametrized families of free boundaries.
On the radius of spatial analyticity for the higher order nonlinear dispersive equation
In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data . The analytic initial data can be extended as holomorphic functions in a strip around the -axis. By Gevrey approximate conservation law, we prove the existence of the global solutions, which improve earlier results of Z. Zhang, Z. Liu, M. Sun, S. Li, (2019).
On the regularity for solutions of the micropolar fluid equations
On the regularity of boundary traces for the wave equation
On the regularity of elliptic differential equations using symmetry techniques and suitable discrete spaces.
On the Regularity of Minimal Surfaces with Free Boundaries in Riemannian Manifolds.
On the regularity of solutions in Convex Integration theory.
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. III
In this part we weaken the sufficient condition to obtain the stresses continuous and bounded in the threedimensional case, and we treat a certain coupled system.
On the regularity of solutions of a thermoelastic system under noncontinuous heating regimes. II
A quasilinear noncoupled thermoelastic system is studied both on a threedimensional bounded domain with a smooth boundary and for a generalized model involving the influence of supports. Sufficient conditions are derived under which the stresses are bounded and continuous on the closure of the domain.
On the regularity of the stationary Navier-Stokes equations
On the regularity of the variational solution of the Tricomi problem in the elliptic region
On the regularity of the weak solution of Cauchy problem for nonlinear parabolic systems via Liouville property
On the regularity of weak solutions to nonlinear elliptic systems via Liouville's type property
On the regularity up to the boundary for higher order quasilinear elliptic systems
On the Riemann-Hilbert problem in the domain with a nonsmooth boundary.
On the sets of regularity of solutions for a class of degenerate nonlinear elliptic fourth-order equations with data.
On the singular behavior of solutions of a transmission problem in a dihedral.
On the Singularities of the Solution to the Cauchy Problem with Singular Data in the Complex Domain.