Multiple solutions to the nonhomogeneousp-Kirchhoff elliptic equation with concave–convex nonlinearities

Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

On Multiple Solutions of Concave and Convex Nonlinearities in Elliptic Equation on RN

On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term

Questions on the existence of positive solutions for the following class of elliptic problems are studied: − M ‖u‖p1,p 1,p Δpu f x, u , in Ω, u 0, on ∂Ω, where Ω ⊂ R is a bounded smooth domain, f : Ω ×R → R and M : R → R, R 0,∞ are given functions. Copyright q 2008 F. J. S. A. Corrêa and R. G. Nascimento. This is an open access article distributed under the Creative Commons Attribution License,...

Finite time blow up of solutions of the Kirchhoff-type equation with variable exponents

In this work, we investigate the following Kirchhoff-type equation with variable exponent nonlinearities u_{tt}-M(‖∇u‖²)△u+|u_{t}|^{p(x)-2}u_{t}=|u|^{q(x)-2}u. We proved the blow up of solutions in finite time by using modified energy functional method.

Positive radial solutions of a singular elliptic equation with sign changing nonlinearities

We study the existence of positive radial solutions to the singular semilinear elliptic equation {−∆u = f (x, u) , in B u = 0, x ∈ ∂B. Throughout, our nonlinearity is allowed to change sign. The singularity may occur at u = 0 and |x | = 1. © 2005 Elsevier Ltd. All rights reserved. MSC: 34B15; 35J20