On a nonlinear compactness lemma in .
On a nonlinear coupled system with internal damping.
On a nonlinear degenerate evolution equation with strong damping.
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient.
On a nonlinear eigenvalue problem in Sobolev spaces with variable exponent.
On a nonlinear elliptic boundary value problem
On a nonlinear elliptic system: resonance and bifurcation cases
In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.
On a nonlinear equation of the vibrating string
A nonlinear model of the vibrating string is studied and global existence and uniqueness theorems for the solution of the Cauchy-Dirichlet problem are given. The model is then compared to the classical D'Alembert model and to a nonlinear model due to Kirchhoff.
On a nonlinear perturbation of a selfadjoint boundary value problem
On a nonlinear problem modelling states of thermal equilibrium of superconductors.
On a nonlinear stationary problem in unbounded domains.
We study existence and some properties of solutions of the nonlinear elliptic equation N(x,a(u))Lu = f in unbounded domains. The above method is not a variational problem. Our techniques involve fixed point arguments and Galerkin method.
On a nonlinear wave equation in unbounded domains.
On a nonlinear wave equation with damping.
On a nonlocal eigenvalue problem
On a nonlocal elliptic problem
We study stationary solutions of the system , m => 1, Δφ = ±u, defined in a bounded domain Ω of . The physical interpretation of the above system comes from the porous medium theory and semiconductor physics.
On a nonlocal Ostrovsky-Whitham type dynamical system, its Riemann type inhomogeneous regularizations and their integrability.
On a nonlocal problem for a confined plasma in a Tokamak
The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms and , which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.
On a nonresonance condition between the first and the second eigenvalues for the -Laplacian.
On a non-self adjoint eigenfunction expansion.
On a non-stationary free boundary transmission problem with continuous extraction and convection, arising in industrial processes
The existence of a weak solution of a non-stationary free boundary transmission problem arising in the production of industrial materials is established. The process is governed by a coupled system involving the Navier--Stokes equations and a non-linear heat equation. The stationary case was studied in [7].