On the existence of nontrivial solutions for nonlocal elliptic Kirchhoff type problems with nonlinear boundary conditions

• Autorzy: Rasouli S. H. , Salehi B.

Identyfikatory

DOI

10.1515/fascmath-2015-0022

• Języki publikacji: EN

Abstrakty

EN

In this paper, by using the Mountain Pass Lemma, we study the existence of nontrivial solutions for a nonlocal elliptic Kirchhoff type equation together with nonlinear boundary conditions.

Słowa kluczowe

EN

Kirchhoff type problems; Mountain-Pass Lemma; nonlinear boundary conditions

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 55
• Strony: 183--188
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Rasouli S. H.

• Department of Mathematics Faculty of Basic Sciences Babol University of Technology Babol, Iran

autor

Salehi B.

• Department of Mathematics Faculty of Basic Sciences Babol University of Technology Babol, Iran

Bibliografia

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• [4] Cheng B., Wu X., Multiplicity of nontrivial solutions for Kirchhoff type problems, Hindawi Publishing Corporation, Boundary Value Problems Volume 2010. Article ID 268946, 13 page, D0I:10.1155/2010/268946.
• [5] Alves C.O., Correa F.J.S.A., Ma T.F., Positive solutions for a quasilinear elliptic equation of Kirchhoff type, Comput. Math. Appl., 49(2005), 85-93.
• [6] He X., Zou W., Infinitely many positive solutions for Kirchhoff-type problems, Nonl. Anal., 70(2009), 1407-1414.
• [7] Ma T.F., Munoz Rivera J.E., Positive solutions for a nonlinear nonlocal elliptic transmisson problem, Apple. Math. Lett., 16(2003), 243-248.
• [8] Perea K., Zhang Z., Nontrival solutions of Kirchhoff-type problems via the Yang index, J. Diff. Eqs., 221(1)(2006), 246-255.