descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-10 (issn: 1085-3375, eissn: 1687-0409,

Authors: Ding, Ling; Li, Lin; Zhang, Jin-Ling;

doi: 10.1155/2014/710949

Positive Solutions for a Nonhomogeneous Kirchhoff Equation with the Asymptotical Nonlinearity inR3

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Abstract

We study the following nonhomogeneous Kirchhoff equation:-(a+b∫R3‍|∇u|2dx)Δu+u=k(x)f(u)+h(x), x∈R3, u∈H1(R3), u>0, x∈R3, wherefis asymptotically linear with respect totat infinity. Under appropriate assumptions onk,f, andh, existence of two positive solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory.

Related Organizations

Southeast University
China (People's Republic of)
Hubei University of Arts and Science
China (People's Republic of)

Keywords

Variational methods for second-order elliptic equations, QA1-939, Positive solutions to PDEs, Nonlinear elliptic equations, Mathematics

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