Multiple solutions for a class of N-Kirchhoff type equations via variational methods

Title:	Multiple solutions for a class of N-Kirchhoff type equations via variational methods
Authors:	Nguyen, Thanh Chung Hoang, Quoc Toan
Keywords:	N-Kirchhoff type equations;Variational method;Multiple solutions
Issue Date:	2015
Publisher:	SPRINGER-VERLAG ITALIA SRL, VIA DECEMBRIO, 28, MILAN, 20137, ITALY
Citation:	ISIKNOWLEDGE
Abstract:	In this article, we consider the following N-Kirchhoff type problem {-M(integral(Omega)vertical bar del u vertical bar(N) dx) Delta(u)(N) = lambda f(x, u) + mu g(x,u) in Omega, u = 0 on partial derivative Omega, where Omega is a bounded smooth domain of R-N, N >= 2, M : R-0(+) -> R is a continuous function, Delta(N)u = div (vertical bar del u vertical bar(N-2)del u), f, g : Omega x R -> R are two Caratheodory functions and lambda, mu are positive parameters. Using variational method, we show the existence of at least three weak solutions for the problem.
Description:	REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS Volume: 109 Issue: 1 Pages: 247-256 Published: 2015 ; TNS05814
URI:	https://link.springer.com/article/10.1007/s13398-014-0177-3 http://repository.vnu.edu.vn/handle/VNU_123/33072
ISSN:	1578-7303
Appears in Collections:	Bài báo của ĐHQGHN trong Web of Science