We study Radon measure‐valued solutions of the Cauchy–Dirichlet problem for∂ tu= Δ ϕ
(u) ∂_tu=Δϕ(u) for a continuous, nondecreasing, at most powerlike ϕ ϕ. We prove well …

Radon measure-valued solutions for some quasilinear degenerate elliptic equations | Annali
di Matematica Pura ed Applicata (1923 -) Skip to main content SpringerLink Account Menu …

We prove the existence of a Radon measure-valued solution for a class of nonlinear
degenerate parabolic equations with a “logarithmic diffusion” when the initial datum u 0 is a …

We study the existence of solutions u belonging to L¹ (0, T; W< sub> 0< sup> 1, 1(Ω))∩
L∞(0, T; L² (Ω)) of a class of nonlinear problems whose prototype is the following {u< sub> t …

Let Ω⊆ ℝN be a bounded domain. In this article, we investigate the existence of entropy
solutions to the nonlinear elliptic problem-div (|∇ u|(p-2)∇ u+ c (x) uγ/(1+| u|) θ (p-1)+ b …

We introduce and analyze a new, nonlinear fourth-order regularization of forward-backward
parabolic equations. In one space dimension, under general assumptions on the potentials …

We prove a new asymptotic behavior result (with respect to the time variable t) of entropy
solutions for fractional parabolic problems, with Dirichlet boundary at infinity, whose model is …

This study focuses on a class of nonlinear anisotropic parabolic equations involving
measurement data. We prove, under which condition on si (y), some existence and …

Existence and regularity results for a class of degenerate nonlinear parabolic equations are
proved for irregular initial data like the Dirac mass. Indeed the diffusion operator may …

This paper deals with a class of nonlinear anisotropic parabolic equations with degenerate
coercivity. Using the anisotropic Gagliardo-Nirenberg-type inequality, we prove some …