On the definition and properties of p-superharmonic functions.
On the differentiability of solutions of quasilinear elliptic equations
On the Dirichlet problem for linear elliptic equations in plane domains with corners
On the Dirichlet problem for minimal graphs in hyperbolic space.
On the Dirichlet problem for quasilinear elliptic second order equations with triple degeneracy and singularity in a domain with a boundary conical point.
On the existence and smoothness of radially symmetric solutions of a BVP for a class of nonlinear, non-Lipschitz perturbations of the Laplace equation.
On the existence and the regularity of an initial boundary problem of vorticity equation
On the Existence of Global Smooth Solutions of Certain Semi-Linear Hyperbolic Equations.
On the existence of weak solutions for a semilinear singular hiperbolic system.
In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.
On the Gevrey analyticity of solutions of semilinear perturbations of powers of the Mizohata operator.
On the global regularity of -dimensional generalized Boussinesq system
We study the -dimensional Boussinesq system with dissipation and diffusion generalized in terms of fractional Laplacians. In particular, we show that given the critical dissipation, a solution pair remains smooth for all time even with zero diffusivity. In the supercritical case, we obtain component reduction results of regularity criteria and smallness conditions for the global regularity in dimensions two and three.
On the global regularity of subcritical Euler–Poisson equations with pressure
We prove that the one-dimensional Euler–Poisson system driven by the Poisson forcing together with the usual -law pressure, , admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the -system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann...
On the global well-posedness of the Boussinesq system with zero viscosity
In this paper we prove the global well-posedness of the two-dimensional Boussinesq system with zero viscosity for rough initial data.
On the Hölder Continuity of Bounded Weak Solutions of Quasilinear Parabolic Systems.
On the interior smoothness of solutions to second-order elliptic equations.
On the local behaviour of solutions of a certain class of doubly nonlinear parabolic equations.
On the local behaviour of solutions of degenerate parabolic equations with measurable coefficients
On the natural generalization of the natural conditions of Ladyzhenskaya and Ural'tseva
On the Neumann problem of one-dimensional nonlinear thermoelasticity with time-independent external forces
On the parameter dependence of solutions to the ...-equation.