On the solvability of a system of wave and beam equations.
On the solvability of a variational inequality problem and application to a problem of two membranes.
On the solvability of boundary value problems for a quasilinear system of equations of mixed and composite type in a multidimensional domain.
On the solvability of degenerated quasilinear elliptic problems.
On the solvability of Dirichlet problem for the weighted p-Laplacian
In this paper we are concerned with the existence and uniqueness of the weak solution for the weighted p-Laplacian. The purpose of this paper is to discuss in some depth the problem of solvability of Dirichlet problem, therefore all proofs are contained in some detail. The main result of the work is the existence and uniqueness of the weak solution for the Dirichlet problem provided that the weights are bounded. Furthermore, under this assumption the solution belongs to the Sobolev space .
On the solvability of monge-ampere type equations in non-uniformly convex domains.
On the solvability of nonlinear elliptic equations in Sobolev spaces
We consider the existence of solutions of the system (*) , l = 1,...,k,
On the solvability of nonlocal pluriparabolic problems.
On the solvability of parabolic and hyperbolic problems with a boundary integral condition.
On the solvability of pseudodifferential operators
On the solvability of semilinear elliptic equation via an associated eigenvaule problem.
On the Solvability of Semilinear Elliptic Equations with Nonlinear Boundary Conditions.
On the solvability of some initial boundary value problems of magnetofluidmechanics with Hall and ion-slip effects
The solvability of three linear initial-boundary value problems for the system of equations obtained by linearization of MHD equations is established. The equations contain terms corresponding to Hall and ion-slip currents. The solutions are found in the Sobolev spaces with and in anisotropic Holder spaces.
On the solvability of superlinear and nonhomogeneous quasilinear equations.
On the solvability of the equation div in and in
We show that the equation div has, in general, no Lipschitz (respectively ) solution if is (respectively ).
On the solvability of the multidimensional version of the first Darboux problem for a model second-order degenerating hyperbolic equation.
On the solvability of the non-homogeneous potential problem at a corner singularity
On the solvability of von Kármán equations
On the spatial analyticity of solutions to the Keller-Segel equations
The regularizing rate of solutions to the Keller-Segel equations in the whole space is estimated just as for the heat equation. As an application of these rate estimates, it is proved that the solution is analytic in spatial variables. Spatial analyticity implies that the propagation speed is infinite, i.e., the support of the solution coincides with the whole space for any short time, even if the support of the initial datum is compact.
On the spatially homogeneous Boltzmann equation