Details

Autor(en) / Beteiligte

• Liang, Sihua
• Zhang, Jihui

Titel

Existence of solutions for Kirchhoff type problems with critical nonlinearity in R super(3)

Ist Teil von

• Nonlinear analysis: real world applications, 2014-06, Vol.17, p.126-136

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we consider the existence and multiplicity of solutions of Kirchhoff type problems with critical nonlinearity in R super(3) : -[epsilon] super(2) (a + b [integraloperator] sub(R) super(3)[Hami lton operator]u| super(2)dx) [Delta]u + V(x)u = K(x)|u| super(4)u + h(x, u), (t, x) [isin] R x R super(3). Under suitable assumptions, we prove that this has at least one solution and for any m [isin] N, it has at least m pairs of solutions.