Existence of solutions for fourth order elliptic equations of Kirchhoff type

[ X ]

Tarih

2014

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Academic Press Inc Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

This paper is concerned with the existence of nontrivial solutions for a class of fourth order elliptic equations of Kirchhoff type {Delta 2u - lambda (a + b integral(Omega)vertical bar del u vertical bar(2)dx) Delta u = f(x, u), in Omega, u = 0, Delta u = 0, on partial derivative Omega, where a > 0, b >= 0 are constants, and lambda > 0 is a parameter. We will show that there exists a lambda* such that (1) has nontrivial solutions for 0 < lambda < lambda* by using the mountain pass techniques and the truncation method. (C) 2013 Elsevier Inc. All rights reserved.

Açıklama

Anahtar Kelimeler

Fourth Order Elliptic Equation, Nontrivial Solutions, Mountain Pass Theorem, Truncation Method

Kaynak

Journal of Mathematical Analysis and Applications

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

409

Sayı

1

Künye