Existence of solutions for fourth order elliptic equations of Kirchhoff type
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Tarih
2014
Yazarlar
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
