Existence of the nontrivial nonnegative periodic solutions for the quasilinear parabolic equation with nonlocal terms

Existence of nontrivial weak solutions for a quasilinear Choquard equation

We are concerned with the following quasilinear Choquard equation: [Formula: see text] where [Formula: see text], [Formula: see text] is the p-Laplacian operator, the potential function [Formula: see text] is continuous and [Formula: see text]. Here, [Formula: see text] is the Riesz potential of order [Formula: see text]. We study the existence of weak solutions for the problem above via the mo...

Existence of Periodic Solutions for the Duffing Equation with Impulses

Existence of stable periodic solutions for quasilinear parabolic problems in the presence of well - ordered lower and upper - solutions ∗

We present existence and stability results for periodic solutions of quasilinear parabolic equation related to Leray-Lions’s type operators. To prove existence and localization, we use the penalty method; while for stability we use an approximation scheme.

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

Existence of Solutions to Nonlocal Elliptic Equations with Discontinuous Terms

In this article, we study the existence of nonnegative solutions for the elliptic partial differential equation −[M(‖u‖p1,p)] ∆pu = f(x, u) in Ω, u = 0 on ∂Ω, where Ω ⊂ RN is a bounded smooth domain, f : Ω×R+ → R is a discontinuous nonlinear function.