The Existence of a Nontrivial Solution for a -Kirchhoff Type Elliptic Equation in

Existence of Nontrivial Solution for a Nonlocal Elliptic Equation with Nonlinear Boundary Condition

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,...

EXISTENCE OF MULTIPLE NONTRIVIAL SOLUTIONS FOR A p-KIRCHHOFF TYPE ELLIPTIC PROBLEM INVOLVING SIGN-CHANGING WEIGHT FUNCTIONS

This paper deals with a p-Kirchhoff type problem involving signchanging weight functions. It is shown that under certain conditions, by means of variational methods, the existence of multiple nontrivial nonnegative solutions for the problem with the subcritical exponent are obtained. Moreover, in the case of critical exponent, we establish the existence of the solutions and prove that the ellip...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Existence of a positive solution for a p-Laplacian equation with‎ ‎singular nonlinearities

‎In this paper‎, ‎we study a class of boundary value problem‎ ‎involving the p-Laplacian oprator and singular nonlinearities‎. ‎We‎ ‎analyze the existence a critical parameter $lambda^{ast}$ such‎ ‎that the problem has least one solution for‎ ‎$lambdain(0,lambda^{ast})$ and no solution for‎ ‎$lambda>lambda^{ast}.$ We find lower bounds of critical‎ ‎parameter $lambda^{ast}$‎. ‎We use the method ...