On the solvability of a variational inequality problem and application to a problem of two membranes.
On the spectrum of the p-biharmonic operator involving p-Hardy's inequality
In this paper, we study the spectrum for the following eigenvalue problem with the p-biharmonic operator involving the Hardy term: in Ω, . By using the variational technique and the Hardy-Rellich inequality, we prove that the above problem has at least one increasing sequence of positive eigenvalues.
On the static and dynamic study of oscillations for some nonlinear hyperbolic systems of conservation laws
On the stationary vibrations of a rectangular plate subjected to stress prescribed partially at the circumference.
On the Stefan problem: the variational approach and some applications
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter . The right hand side is such that the energy does not remain bounded as . The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after integrating...
On the structure of layers for singularly perturbed equations in the case of unbounded energy
We consider singular perturbation variational problems depending on a small parameter ε. The right hand side is such that the energy does not remain bounded as ε → 0. The asymptotic behavior involves internal layers where most of the energy concentrates. Three examples are addressed, with limits elliptic, parabolic and hyperbolic respectively, whereas the problems with ε > 0 are elliptic. In the parabolic and hyperbolic cases, the propagation of singularities appear as an integral property after...
On the symmetries of the differential equation governing damped harmonic vibration.
On the symmetry of blowup solutions to a mean field equation
On the theory of thermoelasticity
The aim of this paper is to prove some properties of the solution to the Cauchy problem for the system of partial differential equations describing thermoelasticity of nonsimple materials proposed by D. Iesan. Explicit formulas for the Fourier transform and some estimates in Sobolev spaces for the solution of the Cauchy problem are proved.
On the Uniqueness of Solutions and on the Convergence of Successive Approximations for Certain Initial Problems of Equations of the Higher Orders
On the uniqueness of solutions and the convergence of successive approximations in the Darboux problem for certain differential equations of the type
On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics
On the uniqueness of weak solutions for the 3D Navier-Stokes equations
On the variational principles for partial differential equations
On the Virasoro structure of symmetry algebras of nonlinear partial differential equations.
On Two-Dimensional Quasi-Linear Elliptic Systems.
On uniqueness in electromagnetic scattering from biperiodic structures
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of solution holds, existence of solution follows from a well-known Fredholm framework for the variational formulation of the problem in a suitable Sobolev space. In this paper, we derive a Rellich identity for a solution to this variational problem under suitable smoothness conditions on the material parameter. Under additional...
On Uniqueness of Boundary Values of Solutions of a Problem Arising in Plasma Physics.
On variational inequalities associated with the Navier-Stokes equation: Some bifurcation problems.