Details

Autor(en) / Beteiligte

• Liang, Sihua
• Zhang, Jihui

Titel

Existence of solutions for Kirchhoff type problems with critical nonlinearity in R super(3)R3

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[int] sub(R3) |(grad)u| super(2)dx) Delta u+V(x)u=K(x)|u| super(4)u+h(x,u)R3:- epsilon 2(a+b[int ]R3|(grad)u|2dx) Delta u+V (x)u=K(x)|u|4u+h(x,u), (t,x)[isin]RR super(3)(t,x)[isin]RR3. Under suitable assumptions, we prove that this has at least one solution and for any m[isin]Nm[isin]N, it has at least mm pairs of solutions.