We investigate the existence of a time-periodic solution to a nonlinear evolution equation
involving p (x)-growth conditions with irregular data. We tackle our problem in a suitable …

In this paper, we give existence and regularity results for nonlinear parabolic problems with
degenerate coercivity and singular lower order terms, whose simplest example is u_t …

In this paper we consider a nonlinear parabolic problem with a discontinuous, nonmonotone
nonlinearity. We assume the existence of an upper solution ϕ and a lower solution ψ such …

We deal with the existence of nonnegative solutions to parabolic problems which are
singular in the u variable whose model is ut− Δpu= f (x, t)(1/uθ+ 1) in Ω×(0, T), u (x, t)= 0 on∂ …

This article is devoted to the study of the existence of weak solutions to an initial and
boundary value problem for a parabolic p (x)-Laplace equation with convection term. Using …

Dall'Aglio, A.; Giachetti, D.; Leone, C.; Segura de León, S. Quasi-linear parabolic equations
with degenerate coercivity having a quadratic gradient term. Annales de l'IHP Analyse non …

Existence of renormalized solutions to a nonlinear parabolic equation in L1 setting with
nonstandard growth condition and gradient term - Li - 2015 - Mathematical Methods in the …

In this paper we study the problem: where Ω is a bounded regular domain in RN, β is a
positive nondecreasing function and f, u0 are positive functions satisfying some hypotheses …

We study existence and regularity of solutions for nonlinear parabolic problems whose
model is \left(0.1\right){_t-div\left(|∇u|^p-2∇u\right)=β\left(u\right)|∇u|^p+f&in\mathrmΩ*0,∞ …

We obtain existence results for some strongly nonlinear Cauchy problems posed in R^ N
and having merely locally integrable data. The equations we deal with have as principal part …