Oddness of least energy nodal solutions on radial domains.
On a class of elliptic differential operators degenerating at one point
On a class of variational-hemivariational inequalities.
On a coupled problem between the plate equation and the membrane equation on polygons
On a generalized Stokes problem
We deal with a generalization of the Stokes system. Instead of the Laplace operator, we consider a general elliptic operator and a pressure gradient with small perturbations. We investigate the existence and uniqueness of a solution as well its regularity properties. Two types of regularity are provided. Aside from the classical Hilbert regularity, we also prove the Hölder regularity for coefficients in VMO space.
On a Global Existence Theorem of Small Amplitude Solutions for Nonlinear Wave Equations in an Exterior Domain.
On a holomorphic solution of a singular partial differential equation with many simple poles
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 nonlinear wave equation in unbounded domains.
On a non-self adjoint eigenfunction expansion.
On a Parabolic Symmetry Problem.
On a phase-field model with a logarithmic nonlinearity
Our aim in this paper is to study the existence of solutions to a phase-field system based on the Maxwell-Cattaneo heat conduction law, with a logarithmic nonlinearity. In particular, we prove, in one and two space dimensions, the existence of a solution which is separated from the singularities of the nonlinear term.
On a priori estimates for positive solutions of a semilinear biharmonic equation in a ball
On a problem of lower limit in the study of nonresonance.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations.
On a quasilinear elliptic equation and a Riemannian metric invariant under Möbius transformations. (Summary).
On a semilinear elliptic equation in
We prove existence/nonexistence and uniqueness of positive entire solutions for some semilinear elliptic equations on the Hyperbolic space.
On a shock problem involving a nonlinear viscoelastic bar.
On a singular sublinear polyharmonic problem.
On a theorem of Cauchy-Kovalevskaya type for a class of nonlinear PDE's of higher order with deviating arguments
We prove an existence theorem of Cauchy-Kovalevskaya type for the equation where f is a polynomial with respect to the last k variables.