We prove the existence of random attractors for a large class of degenerate stochastic partial
differential equations (SPDE) perturbed by joint additive Wiener noise and real, linear …

The existence of random attractors for singular stochastic evolution equations (SEE)
perturbed by general additive noise is proven. The drift is only assumed to satisfy the …

The existence of a (L2 (Ω), W01, p (Ω)∩ Lq (Ω))-global attractor is proved for the p-Laplacian
equation ut− div (|∇ u| p− 2∇ u)+ f (u)= g on a bounded domain Ω⊂ Rn (n⩾ 3) with Dirichlet …

In this paper we extend results from Semigroup Theory on existence and characterization of
attractors in order to include multivalued semigroups T (t) defined by generalized semiflows …

In this paper, we prove the existence of the (L2 (Rn), W1, p (Rn)∩ Lq (Rn))-global attractor
for the p-Laplacian equation ut− div (|∇ u| p− 2∇ u)+ λ| u| p− 2u+ f (u)= g with a more …

In this paper we study the asymptotic behavior of solutions for a non-local non-autonomous
scalar quasilinear parabolic problem in one space dimension. Our aim is to give a fairly …

In this paper we establish a strong comparison principle for a nonautonomous differential
inclusion with a forcing term of Heaviside type. Using this principle, we study the structure of …

We consider monotone semigroups in ordered spaces and give general results concerning
the existence of extremal equilibria and global attractors. We then show some applications …

This self-contained book covers the theory of semilinear equations with sectorial operator
going back to the studies of Yosida, Henry, and Pazy, which are deeply extended nowadays …

In this paper, we consider the p-Laplacian equations with hereditary effects and the
nonlinear term f satisfying the polynomial growth of arbitrary order q− 1 (q≥ 2). We analyze …