On a class of nonlinear reaction-diffusion systems with nonlocal boundary conditions.
On a class of singular hyperbolic equation with a weighted integral condition.
On a conjugate semi-variational method for parabolic equations
On a conserved Penrose-Fife type system
We deal with a class of Penrose-Fife type phase field models for phase transitions, where the phase dynamics is ruled by a Cahn-Hilliard type equation. Suitable assumptions on the behaviour of the heat flux as the absolute temperature tends to zero and to are considered. An existence result is obtained by a double approximation procedure and compactness methods. Moreover, uniqueness and regularity results are proved as well.
On a Darboux problem for a third-order hyperbolic equation with multiple characteristics.
On a Differential Inequality and Its Applications to Geometry.
On a general class of elliptic equations in devergence.
On a generalized nonlinear equation of Schrödinger type.
On a Global Existence Theorem of Small Amplitude Solutions for Nonlinear Wave Equations in an Exterior Domain.
On a Kirchhoff-Carrier equation with nonlinear terms containing a finite number of unknown values
We consider problem (P) of Kirchhoff-Carrier type with nonlinear terms containing a finite number of unknown values with By applying the linearization method together with the Faedo-Galerkin method and the weak compact method, we first prove the existence and uniqueness of a local weak solution of problem (P). Next, we consider a specific case of (P) in which the nonlinear term contains the sum . Under suitable conditions, we prove that the solution of converges to the solution of the corresponding...
On a nonlocal eigenvalue problem
On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball
On a singular sublinear polyharmonic problem.
On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ball.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces II.
On a Solution of Degenerate Elliptic-parabolic Systems in Orlicz-Sobolev Spaces I.
On a third order parabolic equation with a nonlocal boundary condition.
On algebraic characterization of coercive linear partial differential operators with constant coefficients
On an initial-boundary value problem for the equation
On an initial-boundary value problem for the nonlinear Schrödinger equation.