Existence and regularity of a global attractor for doubly nonlinear parabolic equations.
Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well-ordered lower and upper-solutions.
Doubly nonlinear parabolic equations related to the -Laplacian operator: Semi-discretization.
Attractors for a class of doubly nonlinear parabolic systems.
Doubly nonlinear parabolic equations related to the -Laplacian operator.
Bounded weak solutions to nonlinear elliptic equations.
Time periodic solutions to a nonhomogeneous Dirichlet periodic problem.
Existence of weak solutions for the thermistor problem with degeneracy.
Semidiscretization for a nonlocal parabolic problem.
A dual mesh method for a nonlocal thermistor problem.
Generalized solutions for nonlinear elliptic equations.
Existence of global solution for a nonlocal parabolic problem.
Thermistor problem: a nonlocal parabolic problem.
Non résonance près de la première valeur propie d'un système elliptique quasilinéaire de type potentiel.
Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|∇p| ∇u) = h(x,u), Part II.
In this paper we consider a nonlinear parabolic equation of the following type: (P) ∂u/∂t - div(|∇p|p-2 ∇u) = h(x,u) with Dirichlet boundary conditions and initial data in the case when 1 < p < 2. We construct supersolutions of (P), and by use of them, we prove that for tn → +∞, the solution of (P) converges to some solution of the elliptic equation associated with (P).
Existence result for nonlinear parabolic problems with L¹-data
We study the existence of solutions of the nonlinear parabolic problem in ]0,T[ × Ω, on ]0,T[ × ∂Ω, u(0,·) = u₀ in Ω, with initial data in L¹. We use a time discretization of the continuous problem by the Euler forward scheme.
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